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Testing the Differences between Means
Testing the Differences between Means

Chapter 1
Chapter 1

Means - All Content
Means - All Content

When is a conjunction not a conjunction?
When is a conjunction not a conjunction?



Document
Document

... It instructs a member of its research staff to paint each of 36 boards using a different 1-gallon can of the paint, with the intention of rejecting the claim if the mean of the drying time exceeds 20.75 minutes. Otherwise, it will accept the claim. Question: Is it a infallible criterion for acceptin ...
H 0 - METU
H 0 - METU

... computer keyboards, the assembly time is known (from experience) to follow a normal distribution with mean  of 130 seconds and standard deviation  of 15 seconds. The production supervisor suspects that the average time to assemble the keyboards does not quite follow the specified value. To exa ...
Statistical Foundations: Hypothesis Testing
Statistical Foundations: Hypothesis Testing

... b. Primarily, this classification of statistical tests includes those based on the t-distribution and f-distribution as well as those employed in correlation and regression analysis. c. Parametric procedures rely on fairly rigid assumptions which when materially violated adversely affect inference a ...
Tests of significance
Tests of significance

Slide 1
Slide 1

... Example 1: The percentage of physicians who are women is 27.9%. In a survey of physicians employed by a large university health system, 45 of 120 randomly selected physicians were women. Use the P - Value Approach to determine whether there is sufficient evidence at the 0.05 level of significance ...
Statistical Inference
Statistical Inference

... given by the significance level - usually .05. That is, if you always employ a significance level of .05, then 5% of those times when the null actually is true, you will incorrectly reject it. Incorrect Retention: Type II error. The Null is false; µ does not equal 5000. The manufacturer is lieing Bu ...
252y0421
252y0421

... 1. You will be penalized if you do not compute the sample variance of the x L column in question 1. 2. This test is normed on 50 points, but there are more points possible including the takehome. You may not finish the exam and might want to skip some questions. 3. A table identifying methods for co ...
Hypothesis Testing
Hypothesis Testing

... actually observed if the null hypothesis were true. Thus, a small p-value implies that it would be very unusual to observe the results actually observed if the null hypothesis were true. This leads us to reject the null hypothesis. 10. Most statistical packages (including spreadsheets) automatically ...
Hypothesis Testing
Hypothesis Testing

... that result from this decision making process. We call the mistake of rejecting H0 when H0 is true a Type I error. The probability of making a Type I error is the significance level, α. We call the mistake of not rejecting H0 when H1 is true a Type II error. Two facets of hypothesis tests are notewo ...
AP Statistics Review
AP Statistics Review

Statistics for Physicists, 4: Hypothesis Testing
Statistics for Physicists, 4: Hypothesis Testing

... Hypothesis Testing - Frequentist Compare two hypotheses to see which one better explains the data. Or, alternatively, what is the best way to separate events into two classes, those originating from each of two hypotheses. The two hypotheses are traditionally called: H0 : the null hypothesis, and H1 ...
Chapter 8 - FAU Math
Chapter 8 - FAU Math

... Consider the claim that the mean weight of airline passengers (including carry-on baggage) is at most 195 lb (the current value used by the Federal Aviation Administration). Identify the null hypothesis and the alternative hypothesis. Step 1: Express the given claim in symbolic form. The claim that ...
Tools - Hypothesis Tests
Tools - Hypothesis Tests

This page
This page

... in the population has a known, non-zero, chance of being in the sample (i.e., the probability of selection). This isn’t the case for non-probability samples. An example of a non-probability sample is an instant poll which you hear about on radio and television shows. A show might invite you to go to ...
Document
Document

... minor departures from normality will not adversely affect the results of the test. However, for small samples, if the data have outliers, or multiple modes, this procedure should not be used because the distribution will not be approximately normal. ...
lecture 17a compute p value
lecture 17a compute p value

File - Maths Web World
File - Maths Web World

... large samples In many circumstances, to arrive at decisions about the population on the basis of sample information we make assumptions about the population parameters involved. Such an assumption is called a statistical hypothesis which many or many not be true. The procedure which enables us to de ...
Lecture 4
Lecture 4

Chapter 8 Key Ideas Hypothesis (Null and Alternative), Hypothesis
Chapter 8 Key Ideas Hypothesis (Null and Alternative), Hypothesis

... “unlikely” is subjective, and it is important to find a way to make a clear cut-off for “too unlikely” versus “likely enough”. To do this, we introduce some new terminology: Definitions Critical Region – The set of all values of the test statistic that lead to rejection of the null hypothesis (i.e. ...
DESCRIPTIVE STATISTICS I: TABULAR AND GRAPHICAL …
DESCRIPTIVE STATISTICS I: TABULAR AND GRAPHICAL …

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Statistical hypothesis testing

A statistical hypothesis is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables. A statistical hypothesis test is a method of statistical inference. Commonly, two statistical data sets are compared, or a data set obtained by sampling is compared against a synthetic data set from an idealized model. An hypothesis is proposed for the statistical relationship between the two data sets, and this is compared as an alternative to an idealized null hypothesis of no relationship between two data sets. The comparison is deemed statistically significant if the relationship between the data sets would be an unlikely realization of the null hypothesis according to a threshold probability—the significance level. Hypothesis tests are used in determining what outcomes of a study would lead to a rejection of the null hypothesis for a pre-specified level of significance. The process of distinguishing between the null hypothesis and the alternative hypothesis is aided by identifying two conceptual types of errors (type 1 & type 2), and by specifying parametric limits on e.g. how much type 1 error will be permitted.An alternative framework for statistical hypothesis testing is to specify a set of statistical models, one for each candidate hypothesis, and then use model selection techniques to choose the most appropriate model. The most common selection techniques are based on either Akaike information criterion or Bayes factor.Statistical hypothesis testing is sometimes called confirmatory data analysis. It can be contrasted with exploratory data analysis, which may not have pre-specified hypotheses.
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