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How to test hypothesis test for IID sampling?
In scenario 1 the data is IID and in scenario 2 the data is clearly not Identically distributed (different distributions for males and females), but the 2 distributions for the 2 scenarios are indistinguishable from the data, you have to know things about how the data was generated to determine the difference.
How to determine the significance of a hypothesis?
Select the correct statistical test Choose an appropriate level of significance Formulate a plan for conducting the study Statistical Test– uses the data obtained from a sample to make a decision about whether the null hypothesis should be rejected. Test Value(test statistic) – the numerical value obtained from a statistical test.
When to reject a null hypothesis in two tailed test?
Two-tailed test – the null hypothesis should be rejected when the test value is in either of two critical regions on either side of the distribution of the test value. To obtain the critical value, the researcher must choose the significance level, , and know the distribution of the test value.
What kind of test is used to test for significance?
A significance test starts with a careful statement of the claims being compared. The claim tested by a statistical test is called the null hypothesis (H 0 The test is designed to assess the strength of the evidence against the null hypothesis. Often the null hypothesis is a statement of “no difference.”
Is there a way to test for IID?
But the 2 datasets are identical, it is the way that we intend to use the data that determines if they are independent or dependent in this case. So there is no way to test using only the data to show that data is IID, plots and other diagnostics can show some types of non-IID, but lack of these does not guarantee that the data is IID.
What does non critical mean in hypothesis testing?
Non-critical or Non-rejection Region– the range of values for the test value that indicates that the difference was probably due to chance and that the null hypothesis should not be rejected. CH8: Hypothesis Testing Santorico – Page 282