KIN 4310 1st Edition Lecture 17Outline of Last Lecture I. Exam 3 TopicsII. The t-testIII. The t-test StepsIV. T-test ExampleV. QuestionVI. ANOVAVII. F-distributionVIII. ANOVA cont.Outline of Current Lecture I. ANOVA II. ANOVAIII. F StatisticIV. Calculating FCurrent LectureI. ANOVAa. Variance Within Groupsi. Compute the mean sum of squaresii. dfw = degrees of freedom within groupsiii. = number of data points – number of groupsiv. = N – kThese notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute.II. ANOVA a. Variance Between Groupsi. How spread out are the group means?ii. Total variance is based on all data from all groupsiii. Variance between groups represents the spread of the group meansiv. We can calculate the sum of squares between groups by subtractionv. Compute the mean sum of squaresvi. dfb = degrees of freedom between groupsvii. = number of groups – 1viii. = k – 1III. F Statistica. MSbetween / MSwithinb. If there is no effect of treatment, the MSbetween will be relatively small and F will besmallc. If there is a significant effect of treatment, then MSbetween will be large relative to MSwithin and F will be larged. If F >Fcrit, then there is an effect of treatment, and we can reject the null hypothesisIV. Calculating Fa. You need a lot of detailsi. k = number of groupsii. N = total number of data pointsiii. Xi bar = the mean value of each groupb. Then we calculatei. SStotal = sum of squares of all dataii. SSw = sum of squares within groupsiii. SSb = sum of squares between groupsiv. df = degrees of freedom1. MSw = mean sum of squares within groups2. MSb = mean sum of squares between groupsc. Use an ANOVA tablei.d. Once we have out F-value, now what?e. Determine critical value of F for alpha = 0.05i. Use table B3ii. You need:1. df for the denominator2. df for the numerator3. Type 1 error rate
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