Packet 8: Bonus 9

The random variable represented by this distribution is the ratio of two chi-squared variables normalized by their degrees of freedom. For 10 points each:
[10m] Name this continuous distribution that, in one technique, is the null distribution of a test statistic comparing between-group variance and within-group variance.
ANSWER: F-distribution [or Fisher–Snedecor distribution or Snedecor’s distribution; accept F-test or F-statistic]
[10e] When its first degree of freedom equals one, the F-distribution is the square of this other distribution. This heavy-tailed distribution is used to compare two sample means and was published under a generic pseudonym.
ANSWER: Student’s t-distribution [accept Student’s t-test]
[10h] Following a significant F-test using ANOVA, one can apply this post-hoc analysis consisting of pairwise comparisons of means using a studentized range distribution. This test is effectively a t-test that corrects the family-wise error rate.
ANSWER: Tukey’s test [or Tukey’s range test or Tukey’s honestly significant difference test or Tukey’s honest significant difference test or Tukey’s honest significance test or Tukey’s HSD test or Tukey’s method]
<Stanford A, Other Science> | H. Prelims 8 - Stanford A + Georgia Tech C + Columbia A + Columbia B

HeardPPBE %M %H %
2015.0095%45%10%

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TeamOpponentPart 1Part 2Part 3TotalParts
British ColumbiaCambridge010010E
Chicago BIllinois B1010020ME
Georgia Tech ATexas0101020EH
Georgia Tech BToronto A1010020ME
HarvardOhio State010010E
MITPittsburgh1010020ME
Maryland BUCLA010010E
MichiganBruin010010E
MinnesotaPurdue010010E
NYU BMaryland A010010E
Northwestern AToronto B1010020ME
RutgersNorth Carolina0101020EH
Stanford BIllinois A1010020ME
SwarthmoreGeorgetown1010020ME
UC Berkeley AVirginia1010020ME
UC Berkeley BBrown010010E
VanderbiltNorthwestern B1010020ME
Virginia TechPenn State0000
WashUChicago A010010E
WaterlooIndiana1010020ME

Summary

TournamentEditionMatchHeardPPBE %M %H %
Main Site2026-04-17✓2015.0095%45%10%