Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6 multiple choice 1 point a larger f obtained statistic means that ther…

Question

6 multiple choice 1 point a larger f obtained statistic means that there is more ____ variance than ____ variance. mean square; sum of square between - group; within - group within - group; between - group explained; observed 7 multiple choice 1 point the f - test statistic that is calculated is called alpha eta squared f obtained f critical

Explanation:

Question 6
Brief Explanations

In ANOVA (Analysis of Variance), the F - statistic is calculated as the ratio of between - group variance (also known as mean square between, \(MS_{between}\)) to within - group variance (mean square within, \(MS_{within}\)), i.e., \(F=\frac{MS_{between}}{MS_{within}}\). A larger F statistic implies that the numerator (between - group variance) is relatively larger than the denominator (within - group variance). So a larger F obtained statistic means there is more between - group variance than within - group variance.

Brief Explanations
  • Alpha (\(\alpha\)) is the significance level, not the F - test statistic.
  • Eta squared (\(\eta^{2}\)) is a measure of effect size in ANOVA, not the F - test statistic.
  • The F - test statistic that we calculate from our sample data is called the F obtained. The F critical is the value we compare the F obtained to, from the F - distribution table.

Answer:

B. between - group; within - group

Question 7