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Basic Steps in Research Observation Statement of the Problem (Research Question) Design Study Measurement (Collect Data) Statistical Analysis Interpretation (Conclusion) • State Hypotheses • Use/Generate a Theory Absolute versus Relative (Comparative) Assessments Absolute: “How many hours of TV did you watch last year? “Is this drink sweet?” or “How sweet is this drink?” Relative: Did you watch TV more hours than you spent reading the local paper? “Which of these five drinks is the sweetest?” • Generally, it is easier for people to make relative vs. absolute judgments (more accuracy and consistency exists) • People rarely make absolute assessments in everyday activities (most choices are basically comparative) Limitation with relative assessments and the instances when absolute judgments are vital --- Scales of Measurement 1) Nominal -- Indicates categories, classification (e.g., gender, race, yes/no) Stats: N of cases (e.g., chi-square), mode 2) Ordinal -- Indicates relative position; greater than, less than (e.g., rank ordering percentiles) Stats: Median, percentiles, order statistics 1st 2nd 3rd Does not indicate how much of an attribute one possesses (e.g., all may be low or all may be high) Does not indicate how far apart the people are with respect to the attribute 3) Interval -- Indicates an absolute judgment on an attribute (equal intervals) No absolute zero point (a score of 80 is not twice as high as a score of 40) Stats: Mean, variance, correlation 4) Ratio -- Possesses an absolute zero point (e.g., number of units produced) All numerical operations can be performed (add, subtract, multiply, divide) Normal Curve -4 -3 -2 -1 Mean +1 Central Tendency +2 +3 +4 Variability (Spread in scores) a) Mode (most frequent score) a) Range (lowest to highest score) b) Mean (average score; [EX/N]) b) Standard Deviation c) Median (midpoint of scores) c) Variance Computation of Standard Deviation & Variance Test Scores Squared deviation scores Deviation scores (scores minus the mean X x x2 10 -20 200 20 -10 100 30 0 0 40 10 100 50 20 200 EX = 150 EX2 = 1000 (Sum of the squared deviation scores) (EX/N) = 30 (Mean) EX2/N = 200 (the variance or s2) s2 = standard deviation or s 200 Mean of the sum of the squared deviation scores = 14.14 (standard deviation) Relationships Among Different Types of Test Scores in a Normal Distribution Number of Cases 2.14% 0.13% 2.14% 0.13% 13.59% -4 -3 -2 -4 -3 -2 10 20 34.13% -1 34.13% 13.59% Mean Test Score +1 +2 +3 +4 -1 0 +1 +2 +3 +4 30 40 50 60 70 80 90 200 300 400 500 600 55 70 85 100 115 Z score T score CEEB score 700 800 Deviation IQ (SD = 15) 4% 7% 1 2 12% 17% 20% 17% 130 145 12% 7% 4% 7 8 9 Stanine 3 4 5 6 30 40 50 60 70 Percentile 1 5 10 20 80 90 95 100 Positively Skewed Negatively Skewed Distribution Distribution 40 45 55 60 70 75 80 90 Test Scores 100 40 45 55 60 70 75 80 90 Test Scores 100 6-week program between tests Did the program work to increase scores? Math Math English English Pretest Posttest Pretest Posttest 55 56 33 35 64 66 35 37 44 46 43 47 33 38 36 36 28 29 20 21 63 63 60 62 48 50 40 40 38 40 31 31 46 48 52 56 47 47 64 66 % increase “Lying” with numbers 100 90 80 70 60 50 40 30 20 10 0 Math English Some Common Designs Used in I/O Research One-Shot Case Study X O = Observation or Collection of Data O One-Group Pretest-Posttest Design O X O Static Group Comparison X O O X = Treatment or Intervention Common Designs (cont.) Non-Equivalent Control-Group Design O X O O O Time-Series Design O1 O2 O3 O4 O 5 X O6 O7 O8 O9 O10 O6 O7 O8 O9 O10 O6 O7 O8 O9 O10 Multiple Time-Series Design O1 O2 O3 O4 O 5 O1 O2 O3 O4 O 5 X Fairly Uncommon Designs in I/O Research Pretest-Posttest Control Group Design R indicates randomization R O R O X O O Posttest-Only Control Group Design R R X O O This is a graph of accident rates for a year. At first glance, does this graph indicate anything of importance to the organization? 50 45 40 35 30 25 20 15 10 5 0 J F M A M J Jul Aug S O N D How about now? 10 9 8 7 6 5 4 3 2 1 0 J F M A M J Jul Aug S O N D An organization reports that accidents have decrease substantially since they began a drug testing program. In 1995, the year before drug testing, the number of accidents was 50. In 1996, the year testing began, the amount dropped to 40. In 1997, the year after drug testing the number of accident dropped to 29. What do you make of this? 55 50 * 45 40 * 35 30 * 25 20 15 10 5 1995 Drug Testing 1997 65 Given the illustration below, now what do you make of the effectiveness of the drug testing program? * 60 * 55 * 50 * 45 40 * 35 30 * * 25 * 20 * 15 1992 1993 1994 1995 1996 1997 1998 1999 2000