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Transcript
Chapter 1
Levels of Measurement in SPSS Statistics
Chapter Summary
There are three main functions of research: collecting, analyzing, and interpreting data.
Researchers collect data in the field and enter them into SPSS Statistics. SPSS Statistics analyzes
the data and outputs the results of the analysis. Researchers then interpret the results of the analysis
to determine the outcome. There are four traditional levels of measurement: nominal, ordinal, interval, and ratio.
Nominal data are categorical and place participants into groups. Ordinal data are rank-ordered with
unequal levels between the ranks. Interval data are also rank-ordered but have equal, definable
levels between the ranks; Interval data is considered continuous, but with no absolute zero value.
Ratio data are continuous data and do allow for an absolute zero value.
In SPSS Statistics, the levels of measurements are defined differently. The following table
(also in the text) compares the differences. Table 1.1 Summary and Comparison of Traditional and SPSS Statistics Terminology for Levels of Measurement
Traditional SPSS Statistics
Categorical
1
Categorical
Definition
Example
General term for nominal and ordinal
Nominal
Nominal
Naming data
Sex: male-female
Ordinal
Ordinal
Ordered data
Highest degree earned
Scale
Interval
Scale (Continuous)1 General term for interval and ratio
Equal intervals without absolute zero
Scale
Multiple-choice scores
Ratio
Scale
Equal intervals with absolute zero
SPSS Statistics uses the terms “Scale” and “Continuous” interchangeably.
1
Weight (in pounds)
Chapter Objectives
1. Identify the major steps in conducting research. 2. Define traditional levels of measurement. 3. Define levels of measurement used by SPSS Statistics. 4. Compare traditional levels with SPSS Statistics levels. 5. Define the term variable. 6. Classify variables as categorical or scale. 7. Classify variables as nominal, ordinal, or scale. Chapter Key Terms
Data Analyze data Systematic Level of measurement Ordinal Ratio Scale level Collect data Interpret data Likert scale Nominal Interval Categorical level Variable Chapter Suggested Readings/Activities
1. Suggested readings/activities available online: • Practice: https://www.msu.edu/user/sw/statrev/strvq110.htm (accessed 4/29/2015) • Practice: http://www.psychology.emory.edu/clinical/bliwise/Tutorials/SOM/smmod/scalemea/sme
x.htm (accessed 4/29/2015) • Tutorial with video: http://stattrek.com/statistics/measurement-scales.aspx?Tutorial=AP
(accessed 4/29/2015) 2. SPSS Statistics Levels of Measurement Activity (next page) 2
SPSS Statistics Levels Measurement Activity
For each of the following variables, indicate the SPSS Statistics level of measurement (nominal,
ordinal, scale). Variable Scale Gender (male, female) Driving distance Self-esteem measured using Likert Scale Weight SAT score Rankings of students Student satisfaction via evaluation responses Student satisfaction via number of days attended class Hours worked per week Annual salary Preferred brand of soda Number of broken bones in a person’s lifetime Political party affiliation Hormone blood levels Calories eaten per day Calories burned per day Type of vehicle 3
SPSS Statistics Levels Measurement Activity Answer Key
For each of the following variables, indicate the SPSS Statistics level of measurement (nominal,
ordinal, scale). Variable Scale Gender (male, female) Nominal Driving distance Scale Self-esteem measured using Likert Scale Scale Weight Scale SAT score Scale Rankings of students Ordinal Student satisfaction via evaluation responses Scale Student satisfaction via number of days attended class Scale Hours worked per week Scale Annual salary in ranges (e.g., 0-$4,999, $5,000-9,999, etc.) Ordinal Preferred brand of soda Nominal Number of broken bones in a person’s lifetime Scale Political party affiliation Nominal Finishing place in road race Ordinal Hormone blood levels Scale Calories eaten per day Scale Calories burned per day Scale Type of vehicle Nominal 4
Chapter 1 Test Bank Questions
1. Measuring political party affiliation by grouping individuals into such categories as Republican,
Democrat, Libertarian, Green, and so on is at what level of measurement?
a. Nominal
b. Ordinal
c. Interval
d. Ratio
2. Measurements of temperature (in Fahrenheit and Celsius) are at what level of measurement?
a. Nominal
b. Ordinal
c. Interval
d. Ratio
3. Consider a variable that has no absolute zero (such as SAT scores) and has equal intervals. In SPSS
Statistics, this variable is categorized as being which of the following?
a. Nominal
b. Ordinal
c. Scale
4. A data set of one hundred individuals’ weight (in pounds) is at what level of measurement in SPSS
Statistics?
a. Nominal
b. Ordinal
c. Scale
5. A researcher classified participants by the state in which they were born. The researcher has
measured at what SPSS Statistics level?
a. Nominal
b. Ordinal
c. Scale
6. A researcher measured a variable at the ratio level. He or she has measured at which SPSS Statistics
level?
a. Nominal
b. Ordinal
c. Scale
5
7. A researcher rank-orders participants according to the highest level of education attained, giving the
participants with high school diplomas a rank of 1, participants with associate degrees a rank of 2, and
so on. The researcher has measured at what SPSS Statistics level?
a. Nominal
b. Ordinal
c. Scale
8. A researcher labels one group as the control group and one group as the experimental group. What is
the SPSS Statistics level of measurement for the labels?
a. Nominal
b. Ordinal
c. Scale
9. A researcher measured participants’ responses to a self-esteem survey using a Likert scale (1 to 5).
The researcher has measured at what level of measurement in SPSS Statistics?
a. Nominal
b. Ordinal
c. Scale
10. A researcher wants to compare overall finishing place in a road race (e.g., 1st, 2nd, etc.) with the
number of hours of running practice. What is the SPSS Statistics level of measurement for the finishing
place?
a. Nominal
b. Ordinal
c. Scale
11. Researchers often choose a statistical method for analyzing a dataset based on the purpose of the
research.
a. True
b. False
6
12. In SPSS Statistics, ordinal and interval levels of measurement are combined into the scale level of
measurement.
a. True
b. False
13. The three major steps in research are: collect data, analyze data, and interpret data.
a. True
b. False
14. The amount of salary a person earns per year is measured at the SPSS Statistics scale level of
measurement.
a. True
b. False
15. SPSS Statistics levels of measurement can be grouped into scale and nominal.
a. True
b. False
Chapter 1 Test Bank Answers
1. a. Nominal 2. c. Interval 3. c. Scale 4. c. Scale 5. a. Nominal 6. c. Scale 7. b. Ordinal
8. a. Nominal 9. c. Scale 10. b. Ordinal 11. a. True 12. b. False 13. a. True 14. a. True
15. b. False
7
Chapter 2
Entering and Saving a Set of Scores (Scale Variable)
Chapter Summary
The chapter covers the practical steps of entering and saving a dataset that includes on scale
variables (i.e., interval, ratio). Students learn how to:
•
•
•
•
•
•
Create a “New Dataset” in the “Welcome Dialog” window, Enter variable information in the “Variable View”, Enter data in the “Data View”, Double-check entries, Save the data file, And close SPSS Statistics. Chapter Objectives
1. Start SPSS Statistics. 2. Distinguish between numeric data and string data. 3. Distinguish between “Variable View” and “Data View” in the Data Editor. 4. Name a variable. 5. Give the variable a label. 6. Enter scores for a scale variable (i.e., ratio or interval). 7. Save the data file, and close SPSS Statistics. Chapter Key Terms
Variable View Data Editor Label – Variable Data View Name – Variable Chapter Suggested Readings/Activities
The following is a link to IBM’s SPSS Statistics 23 Brief Guide:
ftp://public.dhe.ibm.com/software/analytics/spss/documentation/statistics/23.0/en/client/Manuals
/IBM_SPSS_Statistics_Brief_Guide.pdf (accessed 5/4/2015). 8
Chapter 2 Test Bank Questions
1. String data consists of letters that make up words; numeric data consists of:
a. Abbreviations
b. Codes
c. Scores
d. All of the above
2. To create a new data file in SPSS Statistics, you select:
a. “Open a New Data File”
b. “Type in Data”
c. “New Dataset”
d. “New Data File”
3. To enter a variable’s name, you select:
a. “Variable View”
b. “Dataset Tab”
c. “Data View”
d. “Variable Tab”
4. To enter a variable’s label, you select:
a. “Variable Tab”
b. “Variable View”
c. “Data View”
d. “Dataset Tab”
5. To enter a variable’s data, you select:
a. “Data View”
b. “Dataset Tab”
c. “Variable Tab”
d. “Variable View”
6. The location of the “View” tabs in the “Data Editor” is:
a. Upper-right corner
b. Lower-center
c. Lower-left corner
9
7. What is a major source of error when using SPSS Statistics?
a. Variables named incorrectly
b. Data entered incorrectly
c. Variables labeled incorrectly
d. Data named incorrectly
8. The user-interface of IBM’s SPSS Statistics 23 is similar across Windows and Mac operating
systems.
a. True
b. False
9. You will never need to edit information in the “Variable View” except for the name and label.
a. True
b. False
10. There is no need to double-check your data entry because SPSS Statistics validates your data before
you run any analyses.
a. True
b. False
Chapter 2 Test Bank Answers
1. c. Scores 2. c. “New Dataset” 3. a. “Variable View” 4. b. “Variable View” 5. a. “Data View”
6. b. Lower-center 7. b. Data entered incorrectly 8. a. True 9. b. False 10. b. False
10
Chapter 3
Frequency Distribution
Chapter Summary
This chapter covers organizing data into a frequency distribution, and specifically how to
create a frequency distribution within SPSS Statistics. Students will use the following steps: 1) Start SPSS Statistics (a review of Chapter 2); 2) Locating and existing file; 3) Verifying the proper level of measurement is selected; 4) Analyze the frequency
distribution of data; and 5) Interpret the SPSS Statistics Frequencies display. Chapter Objectives
1. Open a saved data file. 2. Create a frequency distribution, including percentages and cumulative percentages. 3. Save the SPSS Statistics output. 4. Print out the SPSS Statistics output. 5. Format an SPSS Statistics frequency distribution output for presentation in a research report. Chapter Key Terms
Frequency Column Thumb drive Analyze APA format Distribution Row Cloud storage Descriptive Statistics Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Frequency distribution examples:
http://www.statcan.gc.ca/edu/powerpouvoir/ch8/5214814-eng.htm • Frequency distribution examples (with older SPSS screenshots): http://www.psychstat.missouristate.edu/introbook/sbk07.htm 11
Chapter 3 Test Bank Questions
1. A distribution is:
a. A way to organize data
b. A way to disseminate data
c. A way to send data
d. A way to formulate data
2. You can save your data file to all the following locations except:
a. Local Hard Drive
b. Thumb drive
c. SETI
d. Cloud Storage
3. In what view can you ensure the level of measurement is appropriate?
a. Nominal view
b. Data view
c. Storage view
d. Variable view
4. What menu item do you select to find the “Descriptive Statistics…” selection?
a. Frequencies…
b. Graphs
c. Analyze
d. Utilities
5. To create a frequency distribution, the variable required which level of measurement?
a. Nominal
b. Ordinal
c. Scale
6. SPSS Statistics outputs the frequency distribution in a way that is formatted for publication.
a. True
b. False
7. In the SPSS frequency distribution, values that have 0 frequency are not shown.
a. True
b. False
12
8. In the formatted frequency distribution, values that have 0 frequency are not shown.
a. True
b. False
9. On the SPSS Statistics output, the symbol “N” stands for “number of cases.”
a. True
b. False
10. In the “Frequencies” dialog box, use the arrow to move your variable of interest to “Variable(s)...”
a. True
b. False
Chapter 3 Test Bank Answers
1. a. A way to organize data 2. c. SETI 3. d. Variable view 4. c. Analyze 5. c. Scale 6. b. False
7. a. True 8. b. False 9. a. True 10. a. True
13
Chapter 4
Histogram
Chapter Summary
This chapter covers displaying data in a histogram. Students will use the following steps:
1.
2.
3.
4.
Start SPSS Statistics;
Locate an existing file;
Verifying the proper level of measurement is selected; and
Create a histogram using SPSS Statistics; 5) Superimpose a normal curve on the
histogram; and 6) Interpret the SPSS Statistics Histogram display.
The chapter also covers the difference between a histogram and a bar graph. A histogram
displays scale data; a bar graph displays categorical data. The chapter also covers the difference between
a graph and a figure. A graph is a common term for data display; figure is the specific term used in the
social and behavioral science.
Chapter Objectives
1. Add data for a second variable to a saved data file.
2. Create a histogram using SPSS Statistics.
3. Distinguish between the terms histogram and bar graph.
4. Examine the shape of a distribution displayed in a histogram.
5. Superimpose a normal curve on a histogram.
6. Format an SPSS Statistics histogram output for presentation in a research report.
7. Distinguish between the terms graph and figure.
Chapter Key Terms
Histogram
Normal curve
Figure
Bar graph
Graph
Chart Builder
Chapter Suggested Readings/Activities
1. Suggested readings/activities available online:
• Interactive histogram: http://www.shodor.org/interactivate/activities/Histogram/
• Histogram tool and activities: http://illuminations.nctm.org/Activity.aspx?id=4152
14
Chapter 4 Test Bank Questions
1. A histogram:
a. is a statistical figure
b. is similar to a bar graph
c. shows bars that are separate
d. cannot provide information on normality
2. The name of the tool in SPSS Statistics that creates a histogram is called:
a. Graph Builder
b. Figure Builder
c. Chart Builder
d. GGraph Builder
3. How many variables are displayed on a histogram?
a. 0
b. 1
c. 2
d. 3
4. A figure is different from a graph in which way?
a. Figure is the term used in mass media.
b. Statistical drawings are referred to as statistical graphs.
c. Figure is a specific term used in the social and behavioral sciences.
d. SPSS Statistics refers to histograms as figures.
5. To create a histogram, the variable requires which level of measurement?
a. Nominal
b. Ordinal
c. Scale
6. SPSS Statistics outputs the histogram in a way that is formatted for publication.
a. True
b. False
7. You can use SPSS Statistics Chart Builder to add a figure and caption below the histogram.
a. True
b. False
15
8. SPSS Statistics does not include the mean and standard deviation with the histogram GGraph.
a. True
b. False
9. On the SPSS Statistics output, the GGraph stands for “Geometric Graph.”
a. True
b. False
10. A normal curve can be superimposed on a histogram in SPSS Statistics.
a. True
b. False
Chapter 4 Test Bank Answers
1. a. is a statistical figure 2. c. Chart Builder 3. b. 1 4. c. Figure is a specific term used in the social
and behavioral sciences 5. c. Scale 6. b. False 7. a. True 8. b. False 9. a. True 10. a. True
16
Chapter 5
Frequency Polygon
Chapter Summary
This chapter covers displaying data in a histogram. Students will use the following steps:
1.
2.
3.
4.
Start SPSS Statistics;
Locate an existing file;
Verifying the proper level of measurement is selected; and
Create a histogram using SPSS Statistics; 5) Superimpose a normal curve on the
histogram; and 6) Interpret the SPSS Statistics Histogram display.
The chapter covers the difference between a graph and a figure with respect to a frequency
polygon. A graph is a common term for data display; figure is the specific term used in the social and
behavior sciences. There is also information on distinguishing a statistical figure from a statistical table.
A statistical figure is a drawing that represents statistical output, such as a frequency polygon; a statistical
table is an ordered set of statistical values without drawings.
Chapter Objectives
1. Create a frequency polygon using SPSS Statistics.
2. Distinguish between the terms statistical figure and statistical table.
3. Format an SPSS Statistics frequency polygon for presentation in a research report.
4. Create a polygon showing percentages instead of frequencies.
Chapter Key Terms
Polygon
Statistical Table
Figure
Chart Builder
Frequency
Statistical Figure
Graph
17
Chapter Suggested Readings
1. Suggested readings/activities available online:
•
•
Frequency Polygon Simple Notes and Quiz:
http://www.cliffsnotes.com/math/statistics/graphic-displays/frequency-polygon
Frequency polygon tutorial, activities, and relationships to histogram:
http://www.icoachmath.com/math_dictionary/frequency_polygon.html
Chapter 5 Test Bank Questions
1. A frequency polygon:
a. is a statistical figure.
b. is similar to a line graph.
c. shows percentages that are separate data points.
d. cannot provide information on normality.
2. The name of the tool in SPSS Statistics that creates a frequency polygon is called:
a. Graph Builder
b. Figure Builder
c. Chart Builder
d. GGraph Builder
3. How many variables are displayed on a frequency polygon?
a. 0
b. 1
c. 2
d. 3
4. A statistical table is different from a statistical figure in what way?
a. A statistical table displays data in a statistical drawing.
b. A statistical table displays data in an ordered set and a statistical drawing.
c. A statistical figure displays data in a statistical drawing.
d. A statistical figure displays data in an ordered set.
5. To create a frequency polygon, the variable requires which level of measurement?
a. Nominal
b. Ordinal
c. Scale
18
6. SPSS Statistics outputs the frequency polygon in a way that is formatted for publication.
a. True
b. False
7. You can use SPSS Statistics Chart Builder to add a figure and caption below the frequency polygon.
a. True
b. False
8. SPSS Statistics does not include the mean and standard deviation with the frequency polygon
GGraph.
a. True
b. False
9. A statistical table displays information in an ordered set of statistical values.
a. True
b. False
10. A normal curve can be superimposed on a frequency polygon in SPSS Statistics.
a. True
b. False
Chapter 5 Test Bank Answers
1. a. is a statistical figure 2. c. Chart Builder 3. b. 1 4. c. A statistical figure displays data in a
statistical drawing 5. c. Scale 6. b. False 7. a. True 8. b. False 9. a. True 10. a. True
19
Chapter 6
Mean, Median, and Mode: One Group, Two Scale Variables
Chapter Summary
This chapter covers measures of central tendency for one group of participants and two
variables. The chapter begins with the definition and differentiation of mean, median, and mode.
The mean is defined as the balancing point in a distribution of scores (calculated by summing all
the scores and dividing by the number of scores). The median is defined as the middle point in a
distribution of scores (calculated by arranging the scores in order from high to low and counting
to the middle score). The mode is defined as the most frequently occurring score in a distribution.
For instance, if more participants have a score of 10 than any other score, then 10 is the mode.
Steps provided in the chapter describe how to obtain the mean and median using SPSS Statistics.
The chapter then describes when to use the mean and when to use the median. In highly
skewed data, the median is less affected by outliers and so is the best representation of the central
tendency of the data. In distributions that are not highly skewed, the mean presents the best
representation of central tendency.
Last, the chapter clarifies how many decimal places to use when reporting data. The
convention is to use two decimal places more than the raw data. Hence, if raw data is 5, then use
two decimal places (e.g., 5.00) to report the calculated statistics.
Chapter Objectives
1. Define the three measures of central tendency (e.g., mean, median, and mode).
2. Identify when to use the mean, median, and mode.
3. Distinguish between the meanings of row numbers in the “Variable View” and “Data
View” modes.
4. Calculate the mean and median using SPSS Statistics.
5. Identify the mode in a frequency distribution.
6. Present the mean and median in a research report.
a. Select the appropriate symbol for the mean.
b. Determine the number of decimal places to use when reporting
the mean and median.
20
Chapter Key Terms
Mean
Mode
Skewed
Median
Central Tendency
Explore…
Chapter Suggested Readings/Activities
Suggested readings/activities available online:
 Guided Activities on Mean, Median, and Mode (Khan Academy):
https://www.khanacademy.org/math/probability/descriptivestatistics/central_tendency/e/mean_median_and_mode
 Comprehensive Lesson Plan on Mean, Median, and Mode:
http://www.beaconlearningcenter.com/documents/1652_01.pdf
 Demonstration: Mean, Median, and Skew:
http://onlinestatbook.com/2/summarizing_distributions/mean_median_sim.html
Chapter 6 Test Bank Questions
1. The mean is defined as:
a. The balancing point in a distribution of scores.
b. The middle point in a distribution of scores.
c. The most frequently occurring score in a distribution.
d. None of the above.
2. The median is defined as:
a. The balancing point in a distribution of scores.
b. The middle point in a distribution of scores.
c. The most frequently occurring score in a distribution.
d. None of the above.
3. The mode is defined as:
a. The balancing point in a distribution of scores.
b. The middle point in a distribution of scores.
c. The most frequently occurring score in a distribution.
d. None of the above.
21
4. Use the mean when the following condition(s) is/are met:
a. The distribution of scores is not highly skewed.
b. The scores are at the ordinal level of measurement.
c. The scores are at the scale level of measurement.
d. Both A and C.
5. When would you need to use the median instead of the mean?
a. The distribution of scores is not highly skewed.
b. The scores are at the ordinal level of measurement.
c. The scores are at the scale level of measurement.
d. Both A and C.
6. Use the median when the following condition(s) is/are met:
a. The distribution of scores is highly skewed.
b. The scores are at the ordinal level of measurement.
c. The scores are at the scale level of measurement.
d. Both A and B
7. The median is the most frequently used measure of central tendency used in published research.
a. True
b. False
8. Each row in SPSS Statistics represents a participant.
a. True
b. False
9. In SPSS Statistics once you move your cursor to “Descriptive Statistics,” click on “Investigate…” to
get the mean and median.
a. True
b. False
10. There can only be one mode in a distribution.
a. True
b. False
11. The median is appropriate for highly skewed data.
a. True
b. False
22
Chapter 6 Test Bank Answers
1. a. The balancing point in a distribution of scores 2. b. The middle point in a distribution of scores
3. c. The most frequently occurring score in a distribution 4. d. Both A and C 5. b. The scores are at
the ordinal level of measurement 6. d. Both A and B 7. b. False 8. a. True 9. b. False 10. b. False
11. a. True
23
Chapter 7
Mean and Standard Deviation: Two or More Groups,
One Scale Variable
Chapter Summary
This chapter covers measures of central tendency and variance in two or more groups that
are differentiated by one ordinal variable. The chapter begins with the definition of the standard
deviation. The standard deviation, or sd, is defined as the number of score points out from the mean
of a normal distribution that includes 34% of the cases Steps provided in the chapter describe how
to obtain the means and standard deviations of two or more groups using SPSS Statistics. When explaining the process to find the mean and standard deviation of two or more groups,
the chapter introduced the concept of using labels to differentiation between different groups. In
the example used in the chapter, there are three groups defined by the first, ordinal variable (Dosage
Level: Low, Moderate, High). Last, the chapter clarifies differences between an independent variable and a dependent
variable. An independent variable describes group membership and is also known as the input
variable or stimulus variable. A dependent variable describes the participants’ outcome related to
the independent variable and is also known as the outcome variable or response variable. Chapter Objectives
1.
2.
3.
4.
5.
6.
7.
8.
Review the definition of the mean.
Define the standard deviation.
Identify when to use the mean and standard deviation.
Identify when to use the median and interquartile range.
Enter data consisting of codes for group membership and scores for a scale variable.
Identify independent and dependent variables for analysis by SPSS Statistics.
Calculate the means and standard deviations separately for each group.
Present means and standard deviations in a research report.
a. Present means and standard deviations within a sentence.
b. Present means and standard deviations in a statistical table.
24
Chapter Key Terms
Standard deviation Variable label/code Dependent variable Median Independent variable Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Tutorial and Activities on Mean and Interquartile Range: http://math.tutorvista.com/statistics/interquartile-range.html • SPSS Statistics Examples of Finding Standard Deviation: http://davidmlane.com/SPSS/standard_deviation.html • Independent/Dependent Variables Online Quiz/Activity: http://www.quia.com/pop/184568.html
Chapter 7 Test Bank Questions
1. The standard deviation is:
a. A measure of variation that describes the center of a data set.
b. The number of score points out from the mean of a normal distribution that includes 34% of the
cases.
c. The number of score points out from the mean of a normal distribution that includes 13.6% of the
cases.
d. A measure of central tendency that describes the range of a data set.
2. The name of the tool in SPSS Statistics that compares means and standard deviations among
groups is:
a. Compare Means…
b. Descriptives…
c. Means…
d. Standard deviations…
3. Assigning numerical codes to identify groups occurs in which column in the “Variable View”?
a. Label
b. Name
c. Values
d. Variable
25
4. The following variable defines groups:
a. Outcome
b. Dependent
c. Response
d. Independent
5. The following variable defines participant changes:
a. Input
b. Dependent
c. Stimulus
d. Independent
6. In the Value Labels dialog box, click “OK” to add a value label.
a. True
b. False
7. The Means dialog box requires a Dependent variable and an Independent Variable to calculate
means.
a. True
b. False
8. The SPSS Statistics Report output is appropriate for use in publications.
a. True
b. False
9. In the “Data View,” each column is a new variable.
a. True
b. False
10. To assign descriptive labels to numerical data, SPSS Statistics requires data values to be coded.
a. True
b. False
Chapter 7 Test Bank Answers
1. b. The number of score points out from the mean of a normal distribution that includes 34% of the
cases 2. c. Means… 3. c. Values 4. d. Independent 5. b. Dependent 6. b. False 7. a. True
8. b. False 9. a. True 10. a. True
26
Chapter 8
Z-Scores (Standard Scores)
Chapter Summary
This chapter covers standardized scores named z-sores. Z-Scores are scores expressed in
standard deviation units. The scores usually range from -3.00 to 3.00. Z-Scores may also be called
standard scores or standardized values. The chapter then explains the exact steps to calculate z-scores using SPSS Statistics. The
chapter ends with a description of how to interpret z-scores that are negative, zero, and positive. Last, the chapter clarifies differences between an independent variable and a dependent
variable. An independent variable describes group membership and is also known as the input
variable or stimulus variable. A dependent variable describes the participants’ outcome related to
the independent variable and is also known as the outcome variable or response variable. Chapter Objectives
1. Define the terms z-score, standard score, and standardized values. 2. Calculate z-scores for individuals in a group. 3. Interpret z-scores. 4. Identify uses for z-scores. Chapter Key Terms
z-score
Standard score
Standardized values Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Z-score activities, games, and tutorials: http://www.onlinemathlearning.com/zscores.html • YouTube tutorial on z-scores in SPSS: https://www.youtube.com/watch?v=okf2nokI_tE 27
Chapter 8 Test Bank Questions
1. The following is not another term for z-score:
a. Standardized value
b. Standard score
c. Z-Value
d. None of the above
2. The name of the tool in SPSS Statistics that calculates z-scores is:
a. Compare Means…
b. Descriptives…
c. Means…
d. Standard deviations…
3. The z-score is related to what statistical term?
a. Standard deviation
b. Mean
c. Median
d. Range
4. Z-Scores that are positive represent scores that are:
a. Above the mean
b. Below the mean
c. At the mean
d. None of the above
5. Z-Scores that are zero represent scores that are:
a. Above the mean
b. Below the mean
c. At the mean
d. None of the above
6. Z-Scores that are negative represent scores that are:
a. Above the mean
b. Below the mean
c. At the mean
d. None of the above
28
7. In the Descriptives dialog box, click the arrow to move variables into the Variable(s): box.
a. True
b. False
8. Z-Score is sometimes called the standard score.
a. True
b. False
9. After SPSS Statistics calculates z-scores, they display in the output window.
a. True
b. False
10. A z-score of zero indicates the distribution average.
a. True
b. False
11. A z-score of -1.00 indicates a score one standard deviation above the mean.
a. True
b. False
Chapter 8 Test Bank Answers
1. c. Z-Value 2. b. Descriptives… 3. a. Standard deviation 4. a. Above the mean 5. c. At the mean
6. b. Below the mean 7. a. True 8. a. True 9. b. False 10. b. False 11. b. False
29
Chapter 9
Scattergram Chapter Summary
This chapter covers scattergrams, which are statistical figures displaying the relationship
between scale variables. The chapter describes specific steps for creating scattergrams in SPSS Statistics using “Chart Builder.” The chapter also defines terminology that is related to scattergrams: • Predictor variable: the variable used to predict possible outcomes; displayed on the
x-axis. • Criterion variable: the variable that is being predicted; displayed on the y-axis.
Also known as outcome variable. • Strength: the relationship between the variables; measured how related variables
are to each other. • Direction: indicates if the relationship between the variables is positive or
negative. • Linearity: indicates if the relationship goes only one-way (linear) or two-ways
(curvilinear) as the predictor variable changes. Chapter Objectives
1.
2.
3.
4.
Define the term scattergram. Identify when to use a scattergram. Create a scattergram using SPSS Statistics. Interpret a scattergram in terms of a. strength, b. direction, and c. linearity. 5. Format a scattergram for presentation in a research report. Chapter Key Terms
Scattergram Criterion variable Strength Positive relationship Linear relationship Predictor variable Outcome variable Direction Negative (inverse) relationship Curvilinear relationship 30
Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Classroom lab using food to explore variable relationships:
http://www.pitt.edu/~nancyp/chs/scatterplot.doc • Interactive scatterplot: http://www.shodor.org/interactivate/activities/ScatterPlot/ • Online tutorial, activity, and quiz: http://study.com/academy/lesson/scatter-plotandcorrelation-definition-example-analysis.html Chapter 9 Test Bank Questions
1. A scattergram is also known as a:
a. Scatterplot
b. Plot diagram
c. Scatter figure
d. None of the above
2. What are types of directional relationships in scattergrams?
a. Positive
b. Negative
c. No relationship
d. Only A and B
e. All of the above
3. Which variable should be displayed on the x-axis?
a. Outcome variable
b. Predictor variable
c. Criterion variable
d. Participant variable
4. When there is a positive relationship between two variables, that means:
a. As one variable increases, the other decreases.
b. As one variable increases, the other increases.
c. As one variable increased, the other increases and then decreases.
d. None of the above.
31
5. When variables share a curvilinear relationship, this relationship is also known as:
a. Up and down
b. Positive
c. No relationship
d. Non-linear
6. A scattergram is a type of statistical figure.
a. True
b. False
7. Scattergrams can be interpreted in terms of strength, course, and linearity.
a. True
b. False
8. SPSS Statistics uses “Chart Builder…” to create scattergrams.
a. True
b. False
9. Use a scattergram before calculating a correlation coefficient.
a. True
b. False
10. In APA style, figure numbers and their captions are placed below figures.
a. True
b. False
Chapter 9 Test Bank Answers
1. a. Scatterplot 2. e. All of the above 3. b. Predictor variable 4. b. As one variable increases, the
other increases 5. d. Non-linear 6. a. True 7. b. False 8. a. True 9. a. True 10. a. True
32
Chapter 10
Correlational Coefficients: The Pearson r and Spearman’s rho Chapter Summary
This chapter covers correlation coefficients. It explains the different situation to use either
Pearson’s r or Spearman’s rho. Pearson’s r is used when the data are at the scale level, distributed
symmetrically, and not curvilinear. Spearman’s rho is used when data are at the ordinal level,
distributed asymmetrically, and/or not curvilinear. The chapter describes the steps needed in SPSS Statistics to calculate both the Pearson’s r
and Spearman’s rho. The chapter ends with an explanation of how to report correlation coefficients in an
APAstyled report. Chapter Objectives
1. Define the term correlation coefficient. 2. Identify when to use the Pearson r. 3. Identify when to use Spearman’s rho. 4. Interpret a correlation coefficient in terms of its strength and direction. 5. Present a correlation coefficient in a research report. Chapter Key Terms
Correlation coefficient
Spearman’s rho
Pearson’s r Bivariate Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Correlation Lesson Plans with Activities and Answers: http://www.learner.org/courses/againstallodds/pdfs/AgainstAllOdds_StudentGuide_Unit1
2.pdf • Advanced Example of Spearman Rank Correlation (with SPSS Statistics screen shots): http://www.statisticssolutions.com/spearman-rank-correlation/
33
Chapter 10 Test Bank Questions
1. A correlation coefficient is also known as a:
a. Spearman’s rho.
b. Pearson’s r.
c. Both A and B.
d. None of the above.
2. Use the Pearson’s r when:
a. The distribution is asymmetrical.
b. The data are at the ordinal level.
c. The data are not curvilinear.
d. The data are curvilinear.
3. Use the Spearman’s rho when:
a. The distribution is symmetrical.
b. The data are at the ordinal level.
c. The data are curvilinear.
d. The data are at the scale level.
4. Use the following SPSS Statistics tool to calculate the correlation coefficient:
a. Chart Builder…
b. Descriptive Statistics…
c. Bivariate…
d. None of the above.
5. When variables share a curvilinear relationship, this relationship is also known as:
a. Up and down
b. Positive
c. No relationship
d. Non-linear
6. Pearson’s r is formally known as Pearson product-moment correlation coefficient.
a. True
b. False
7. Spearman’s rho is formally known as Spearman’s rank-order correlation coefficient.
a. True
b. False
34
8. Use Pearson’s r for data at the ordinal level.
a. True
b. False
9. Use Spearman’s rho for data at the scale level.
a. True
b. False
10. Use Pearson’s r for data at the scale level.
a. True
b. False
Chapter 10 Test Bank
1. c. Both A and B 2. c. The data are not curvilinear 3. b. The data are at the ordinal level
4. c. Bivariate… 5. d. Non-linear 6. a. True 7. a. True 8. b. False 9. b. False 10. a. True
35
Chapter 11
Simple Linear Regression
Chapter Summary
This chapter covers linear regression. Linear regression is a statistical method used to plot
a line that best represents a set of data made up of pairs of values, each representing an independent
variable and a dependent variable. The chapter also describes the steps needed to calculate
regression values and graph the scattergram. SPSS Statistics outputs several values when calculating a linear regression. The first section
is titled “Model Summary.” In the column headed “R Square,” there is a value known as the
coefficient of determination, which indicates the proportion of variance of the dependent variable
that can be explained by variation that also occurs in the independent variable. The “Std. Error of
the Estimate” indicates the amount of dispersion for the prediction equation. In the output section titled “ANOVA,” it is the far-right column headed “Sig.” that is of
most interest. A value less than .05 indicates a significant result. The third section of the output, titled “Coefficients,” contains a value of the independent
variable that indicates whether the relationship is direct or inverse. You can plug the coefficient
values into the regression equation used to plot the line of regression. This equation is expressed
as Y’ = a + bX. To determine the value of Y’ (the dependent variable), replace a with the (Constant)
and b with the “Coefficients” value of the independent variable. Chapter Objectives
1.
2.
3.
4.
Define the term linear regression. Calculate the intercept and slope for linear regression. Interpret linear regression. Use SPSS Statistics to create a scattergram and plot the fit-line of regression. Chapter Key Terms
Linear regression Slope Regression coefficients R2 Linear value Intercept Fit-line Chart Editor 36
Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Interesting Regression Lab Examples:
http://mathequalslove.blogspot.com/2013/10/funwith-linear-regression-labs.html • Linear Regression and Correlation Interactive Online Activity with Lesson Plans:
http://www.shodor.org/interactivate/lessons/LinearRegressionCorrelation/ • Handout with several differing activities, questions, and ideas: https://www.causeweb.org/repository/ACT/Regression_Activity.doc Chapter 11 Test Bank Questions
1. Linear regression is a statistical method requiring the following variable types:
a. Two variables at the ordinal level.
b. One variable at the ordinal level and one at the scale level.
c. Two variables at the scale level.
d. None of the above.
2. SPSS Statistics calculates the following outputs for a linear regression analysis:
a. Model Summary
b. ANOVA
c. Coefficients
d. All of the above
3. Use the following statistics to determine the statistical significance of the regression:
a. ANOVA Sig.
b. R2 Linear value
c. Unstandardized Coefficient
d. Standard Error of the Estimate
4. Use the following SPSS Statistics tool to edit graphs:
a. Chart Builder
b. Descriptive Statistics
c. Graph Editor
d. Chart Editor
37
5. The following statistics can be displayed on the scattergram:
a. Regression equation
b. R2 Linear value
c. Data points
d. All of the above
6. Linear regression requires two variables at the ordinal level.
a. True
b. False
7. The SPSS Statistics tool labels the variables used in linear regression as independent and dependent.
*a. True
b. False
8. A significance value of less than .05 indicates a statistically significant finding for an alpha-level of
5%.
a. True
b. False
9. The ANOVA output box contains the coefficient of determination.
a. True
b. False
10. Linear regression involves predicting the outcome of one variable (dependent) based on the input of
another variable (independent).
a. True
b. False
Chapter 11 Test Bank Answers
1. c. Two variables at the scale level 2. d. All of the above 3. a. ANOVA Sig. 4. d. Chart Editor
5. d. All of the above 6. b. False 7. a. True 8. a. True 9. b. False 10. a. True
38
Chapter 12
The t Test for a Single Sample Mean
Chapter Summary
This chapter covers the purpose of the t test for a single sample mean and the steps required
to calculate the t statistic using SPSS Statistics. The purpose of the t test for a single sample mean
is to determine whether the mean for a random sample of participants differs significantly from a
known value or a hypothetical value.
Chapter Objectives
1. Identify the purpose of the t test for a single sample mean.
2. Conduct a t test to determine the significance of the difference between a single sample mean
and a test value (i.e., a known value or hypothetical value).
3. Interpret the results of the t test in terms of the null hypothesis and statistical significance.
4. Present the results of the t test in a research report.
Chapter Key Terms
t test
Statistically significant
Null hypothesis
Test value
t statistic
Statistically insignificant
Sample mean
Chapter Suggested Readings/Activities
Suggested readings/activities available online:
• Using candy to demonstrate the use of the t test:
http://www.teachpsychscience.org/pdf/120201394834pm_1.pdf
• Online tutorial with exercises: http://cep932.wikispaces.com/One+Sample+T-Test
39
Chapter 12 Test Bank Questions
1. The following are all terms associated with a t test, except:
a. Significance level.
b. Correlational coefficient.
c. Sample mean.
d. Null hypothesis.
2. SPSS Statistics displays the following outputs for a t test:
a. Model Summary
b. One-Sample Statistics
c. Coefficients
d. ANOVA
3. Use the following statistic to determine the statistical significance of the single sample mean:
a. ANOVA Significance
b. R2 Linear value
c. One-Sample Test Significance
d. Standard Error of the Estimate
4. Use the following SPSS Statistics tool to calculate statistical significance:
a. Linear Compare…
b. Descriptive Statistics…
c. Compare Means…
d. Chart Editor…
5. What hypothesis is being tested when using a t test?
a. Null hypothesis
b. Test hypothesis
c. Data-based hypothesis
d. Sample mean hypothesis
6. A t test requires one variable at the scale level.
a. True
b. False
7. A t test compares the sample mean to a test value.
a. True
b. False
40
8. A significance value of .002 indicates a statistically significant finding at the .001 level.
a. True
b. False
9. In research reports, you should mention information about the null hypothesis.
a. True
b. False
10. A negative t statistic demonstrates greater statistical significance.
a. True
b. False
Chapter 12 Test Bank Answers
1. b. Correlational coefficient 2. b. One-Sample Statistics 3. c. One-Sample Test Significance
4. c. Compare Means… 5. a. Null hypothesis 6. a. True 7. a. True 8. b. False 9. a. True
10. a. True
41
Chapter 13
Paired-Samples t Test
Chapter Summary
This chapter covers the purpose of the paired-samples t test and the steps required to
calculate the t statistic using SPSS Statistics. This test is appropriate when each score underlying
one mean has been paired (i.e., matched) with a score underlying the other mean. Chapter Objectives
1. Identify the purpose of the paired-samples t test. 2. Conduct a t test to determine the significance of the difference between the means of two
paired samples (i.e., dependent means). 3. Interpret the results of a t test in terms of the null hypothesis and statistical significance. 4. Present the results of the t test in a research report. Chapter Key Terms
Paired-samples t test
Statistically significant
Null hypothesis
Dependent groups Statistically insignificant Sample means Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Lesson plan and activity ideas: http://www.statstutor.ac.uk/resources/uploaded/coventrypairedttests.pdf • Walk-through tutorial for paired samples:
http://ictedusrv.cumbria.ac.uk/maths/SecMaths/U4/page_86.htm • Using paper helicopters to compare paired and independent groups: http://courses.ncssm.edu/math/Stat_inst01/PDFS/helitests.pdf 42
Chapter 13 Test Bank Questions
1. The following are all terms associated with a paired-samples t test, except:
a. Pretest
b. Paired-sample Fit line
c. Sample means
d. Posttest
2. SPSS Statistics displays the following outputs for a t test:
a. Model Summary
b. One-Sample Statistics
c. Paired Samples Statistics
d. ANOVA
3. Use the following statistic to determine the statistical significance of the paired-sample t test:
a. ANOVA Significance
b. R2 Linear value
c. One-Sample Test Significance
d. Sig. (2-tailed)
4. Use the following SPSS Statistics tool to calculate statistical significance:
a. Paired-Samples T Test…
b. Descriptive Statistics…
c. Linear Means…
d. Chart Editor…
5. What key do you use to select multiple variables?
a. “Ctrl” on a Windows machine
b. “Command” on an Apple machine
c. Either A or B.
d. Neither A nor B.
6. A paired-samples t test requires two variables at the ordinal level.
a. True
b. False
7. A paired-samples t test compares a sample mean to a test value.
a. True
b. False
43
8. A paired-samples t test requires two variables at the scale level.
a. True
b. False
9. In research reports, you need to report the t statistic and degrees of freedom.
a. True
b. False
10. Variables in paired-sample t tests are often called pretest and posttest.
a. True
b. False
Chapter 13 Test Bank Answers
1. b. Paired-sample Fit line 2. c. Paired Samples Statistics 3. d. Sig. (2-tailed) 4. a. Paired-Samples
T Test… 5. c. Either A or B 6. b. False 7. b. False 8. a. True 9. a. True 10. b. False
44
Chapter 14
Independent-Samples t Test
Chapter Summary
This chapter covers the purpose of the independent-samples t test and the steps required to
calculate the t statistic using SPSS Statistics. The term independent indicates that there is no
relationship (no matching or pairing) of scores from one sample to the other. The chapter covers
the independent-samples t test for two samples that are independent of each other. Chapter Objectives
1. Identify the purpose of the independent-samples t test. 2. Conduct a t test to determine the significance of the difference between the means of two
independent samples. 3. Interpret the results of a t test in terms of the null hypothesis and statistical significance. 4. Present the results of the t test in a research report. Chapter Key Terms
Independent-samples t test
Experimental group
Independent groups
Control group Equal Variances Levene’s test Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Oreo cookie activity: http://www.amstat.org/education/stew/pdfs/DoubleStuffed.pdf
• Step-by-step tutorial: http://www.nottingham.ac.uk/toolkits/play_5838
• Using paper helicopters to compare paired and independent groups:
http://courses.ncssm.edu/math/Stat_inst01/PDFS/helitests.pdf 45
Chapter 14 Test Bank Questions
1. The following terms are not associated with an independent-samples t test, except:
a. Pretest
b. Independent-sample Fit line.
c. Sample control.
d. Control group.
2. SPSS Statistics displays the following outputs for an independent-samples t test:
a. Model Summary
b. One-Sample Statistics
c. Group Statistics
d. ANOVA
3. Use the following statistical result to determine if the variances are assumed to be equal for an
independent-samples t test:
a. ANOVA Significance
b. Levene’s Test
c. R2 Linear value
d. One-Sample Test Significance
4. Use the following SPSS Statistics tool to calculate statistical significance for an independent-samples
t test:
a. Descriptive Statistics…
b. Compare Means…
c. Linear Means…
d. Chart Editor…
5. In SPSS Statistics, the dependent variable in an independent-samples t test is known as:
a. Outcome variable.
b. Test variable.
c. Experimental variable.
d. Control variable.
6. An independent-samples t test requires two variables at the scale level.
a. True
b. False
46
7. An independent-samples t test compares two independent sample means.
a. True
b. False
8. An independent-samples t test requires one grouping variable to define the experimental and control
groups.
a. True
b. False
9. In research reports, you need to report the independent-samples t statistic, but not the degrees of
freedom.
a. True
b. False
10. Variables in an independent-sample t tests are often called baseline and experimental group.
a. True
b. False
Chapter 14 Test Bank Answers
1. d. Control group 2. c. Group Statistics 3. b. Levene’s Test 4. b. Compare Means…
5. b. Test variable 6. a. True 7. a. True 8. a. True 9. b. False 10. b. False
47
Chapter 15
One-Way ANOVA
Chapter Summary
This chapter covers the purpose of ANOVA and the steps required to calculate its F statistic
using SPSS Statistics. The ANOVA is similar to the independent-samples t test, which determines
the significance of the difference between two means. A one-way ANOVA can perform the same
type of test for a set of two or more means. The chapter also covers interpreting output and reporting ANOVA results. For ANOVA,
report the value of F, followed (in brackets) by the degrees of freedom, and indicate whether F is
statistically significant. Chapter Objectives
1. Identify the purpose of a one-way ANOVA. 2. Conduct a one-way ANOVA. 3. Interpret the results of a one-way ANOVA in terms of the null hypothesis and statistical
significance. 4. Present the results of a one-way ANOVA in a research report. Chapter Key Terms
ANOVA
Factor
Group variable F statistic Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Activity using raw research data to calculate One-Way ANOVA: http://www.teachpsychscience.org/pdf/1110201011008pm_1.pdf • Using M&M’s to Teach One-Way ANOVA: http://www.amstat.org/publications/jse/v21n1/schwartz.pdf 48
Chapter 15 Test Bank Questions
1. The following terms are not associated with ANOVA, except:
a. Factor
b. Independent-sample Fit line.
c. Sample control.
d. Control group.
2. SPSS Statistics displays the following outputs for an ANOVA:
a. Model Summary
b. One-Sample Statistics
c. Group Statistics
d. ANOVA
3. Use the following statistical result to determine if the ANOVA found statistical differences among
groups:
a. ANOVA Sig.
b. Levene’s Test
c. R2 Linear value
d. One-Sample Test Significance
4. Use the following SPSS Statistics tool to calculate statistical significance for ANOVA:
a. Descriptives…
b. Compare Means…
c. Linear Means…
d. Chart Editor…
5. In SPSS Statistics, the independent variable in an ANOVA is known as:
a. Outcome.
b. Test.
c. Factor.
d. Control.
6. An ANOVA requires two or more conditions at the scale level.
a. True
b. False
49
7. An ANOVA compares two or more independent sample means.
a. True
b. False
8. An ANOVA requires one grouping variable to define the two or more groups.
a. True
b. False
9. In research reports, you need to report the degrees of freedom for the between groups and within
groups.
a. True
b. False
10. The independent variable is labeled as the “Condition” in SPSS Statistics.
a. True
b. False
Chapter 15: Test Bank Answers
1. a. Factor 2. d. ANOVA 3. a. ANOVA Sig. 4. b. Compare Means… 5. c. Factor 6. a. True
7. a. True 8. a. True 9. a. True 10. b. False
50
Chapter 16
Chi-Square Goodness-of-Fit Test
Chapter Summary
This chapter covers the purpose of the chi-square goodness-of-fit test and the steps required
to calculate it using SPSS Statistics. The chi-square test is used with categorical data, both nominal
and ordinal. In the SPSS Statistics output, the probability is indicated by the term “Asymp. Sig.” When reporting results, report the frequencies for each nominal variable, which are
indicated by the term “Observed N” in the SPSS Statistics output. Then, describe the results of the
chi-square significance test. Last, note that the symbol for chi-square is χ2, and remember to report
the degrees of freedom. Chapter Objectives
1. Identify the purpose of the chi-square goodness-of-fit test. 2. Conduct a chi-square goodness-of-fit test. 3. Interpret the results of a chi-square goodness-of-fit test in terms of the null hypothesis and
statistical significance. 4. Present the results of the chi-square goodness-of-fit test in a research report. Chapter Key Terms
Chi-square
Test variable
Null hypothesis
Goodness-of-fit test Asymptotic significance Nominal level Chapter Suggested Readings/Activities
Suggested readings/activities available online: • M&M’s Chi-square lab: http://statistics.about.com/od/Activities/a/Chi-SquareActivity.htm • Chi-square online tutorial: https://statistics.laerd.com/spss-tutorials/chi-squaregoodnessof-fit-test-in-spss-statistics.php 51
Chapter 16 Test Bank Questions
1. The following are terms not associated with chi-square goodness-of-fit, except:
a. Factor.
b. Independent-sample Fit line.
c. Test variable.
d. Control group.
2. SPSS Statistics displays the following outputs for a chi-square goodness-of-fit:
a. Candidate.
b. One-Sample Statistics.
c. Test Statistics.
d. Both A and C.
3. Use the following statistical result to determine if the chi-square goodness-of-fit calculated a
statistically significant difference:
a. ANOVA Sig.
b. Levene’s Test
c. Asymp. Sig.
d. One-Sample Test Significance
4. Use the following SPSS Statistics tool to calculate statistical significance for chi-square goodness-offit:
a. Descriptives…
b. Compare Means…
c. Legacy Dialog…
d. Chart Editor…
5. In SPSS Statistics, the variable in a chi-square goodness-of-fit is known as:
a. Outcome Variable.
b. Test Variable.
c. Factor Variable.
d. Control Variable.
6. A chi-square goodness-of-fit test requires two or more variables at the nominal level.
a. True
b. False
52
7. A chi-square goodness-of-fit test is used with data at the scale level.
a. True
b. False
8. A chi-square goodness-of-fit requires a grouping variable.
a. True
b. False
9. In research reports, you need to report the degrees of freedom for the chi-square goodness-of-fit
sample.
a. True
b. False
10. The variable in chi-square goodness-of-fit is labeled as “Test Variable.”
a. True
b. False
Chapter 16: Test Bank Answers
1. c. Test variable 2. d. Both A and C 3. c. Asymp. Sig. 4. c. Legacy Dialog… 5. b. Test Variable
6. b. False 7. b. False 8. b. False 9. a. True 10. a. True
53
Chapter 17
Chi-Square Test of Independence Chapter Summary
This chapter covers the purpose of the chi-square test of independence and the steps
required to calculate it using SPSS Statistics. The chi-square test of independence is used to test
for the statistical significance of the relationship between two categorical variables. In the SPSS
Statistics output, the probability is indicated by the term “Asymp. Sig.” When reporting results, report the frequencies for each category, which are provided in the
“Category * Category Crosstabulation” table in the SPSS Statistics output. Describe the results of
the chi-square significance test (χ2), and report the degrees of freedom. Chapter Objectives
1. Identify the purpose of the chi-square test of independence. 2. Conduct a chi-square test of independence. 3. Interpret the results of a chi-square test of independence in terms of the null hypothesis and
statistical significance. 4. Present the results of the chi-square test of independence in a research report. Chapter Key Terms
Test of Independence
Category
Row(s)
Cross tabulation Asymptotic significance Column(s) Chapter Suggested Readings/Activities
Suggested readings/activities available online: • Test of Independence Tutorial: http://www.ling.upenn.edu/~clight/chisquared.htm • Two -Way Tables and Chi-Square Tutorial:
http://www.stat.yale.edu/Courses/199798/101/chisq.htm • Lab - The Case of the Careless Zookeeper:
http://www.amstat.org/education/stew/pdfs/TheCaseoftheCarelessZookeeper.pdf 54
Chapter 17 Test Bank Questions
1. The following are associated with chi-square test of independence, except:
a. Row(s).
b. Column(s).
c. Test variable.
d. Nominal.
2. SPSS Statistics displays the following outputs for a chi-square test of independence:
a. Descriptives.
b. Case Processing Summary.
c. Chi-Square Tests.
d. Both B and C.
3. Use the following statistic to determine if the chi-square test of independence calculated a
statistically significant difference:
a. ANOVA Sig.
b. Levene’s Test
c. Asymp. Sig.
d. One-Sample Test Significance
4. Use the following SPSS Statistics tool to calculate statistical significance for chi-square goodness-offit:
a. Descriptives…
b. Compare Means…
c. Legacy Dialog…
d. Crosstabs…
5. In SPSS Statistics, the variables in a chi-square test of independence are labeled as:
a. Row(s).
b. Column(s).
c. Neither A nor B.
d. Both A and B.
6. A chi-square test of independence usually involves two variables at the nominal level (though it can
also use two ordinal variables).
a. True
b. False
55
7. A chi-square test of independence can be used with data at the ordinal level.
a. True
b. False
8. A chi-square test of independence requires a grouping variable.
a. True
b. False
9. In research reports, you need to report the degrees of freedom for the chi-square test of independence
along with the frequencies for each category.
a. True
b. False
10. The statistical tool used for a chi-square test of independence is Cross Tabulation.
a. True
b. False
Chapter 17 Test Bank Answers
1. c. Test variable 2. d. Both B and C 3. c. Asymp. Sig. 4. d. Crosstabs… 5. d. Both A and B
6. a. True 7. a. True 8. b. False 9. a. True 10. a. True
56