Answer the following questions in 1 or 2 sentences.
What is the difference between an experiment and observational study? How does this affect conclusions?
What determines whether we can make generalizations about our conclusions?
What different types of questions do CIs and Hypothesis testing answer?
Describe the difference between the Null hypothesis and the Alternate hypothesis. Which one are we trying to show is true?
Why do we calculate a test-statistic?
What does the test-statistic tell us in the context of a hypothesis test?
Why do we sometimes call tests left, right, or two-tailed tests?
What is the definition of a p-value?
What does the p-value tell us for a hypothesis test?
How does the sample size affect the test-statistic, and as a consequence the p-value, with everything else held constant?
How does the standard error affect the test-statistic, and as a consequence the p-value, with everything else held constant?
What is the difference between ‘statistical significance’ and ‘practical significance’?
What does the ‘significance level’ refer to in hypothesis testing?
What is a Type I error and what is another name for it?
What is a Type II error and what is another name for it?
What type of error occurs if H0 is False but we fail to reject it?
What type of error occurs if H0 is True but we do reject it?
Explain why using \(\alpha\) = 0.05 as a strict cut-off for significance is problematic
What should determine the value we use for our significance level of a hypothesis test?
Explain in your own words what is meant by the following phrase: “Over time it appears the p-value has become a gatekeeper for whether work is publishable.”
Describe in your own words what the Sums of Squares of Groups represents.
Describe in your own words what the Sums of Squares of Errors represents.
Describe in your own words what the F-statistic in an ANOVA test is measuring.
For basic ANOVA, describe in words what null hypothesis the F-statistic testing.
We saw that regression was a special case of ANOVA. What null hypothesis is the F-statistic testing in regression?