# STAT 2050 Study Guide - Midterm Guide: Street Fighter Alpha 3, Standard DeviationPremium

1 pages101 views2018

School

University of GuelphDepartment

StatisticsCourse Code

STAT 2050Professor

Zeny FengStudy Guide

MidtermThis

**preview**shows half of the first page. to view the full**1 pages of the document.**One Way ANOVA:

k = number of groups

i = group number;

j = number of samples in ith group (group size)

Yij follows a normal distribution

Assumptions:

Normal distribution for Yij

Distribution of Yij has common variance and equal variance

Observations are independent

5 steps:

1. Ho = all u’s equal; Ha = ot all u’s equal

2. State Alpha

3. F Test (F~FI-1,n-I under the null)

4. Interpret (e.g. Given Fobs > F*, we reject the Ho)

5. Conclusion (e.g. That is, there is strong evidence to suggest Group A > Group B)

Pairwise Test: Comparing two groups within an ANOVA

H0: mu2=mu3 vs HA: mu2 =/= mu3

If using CI, reject Ho if CI does not cover 0

CI=

Calculate variance, standard deviation using all groups (group pooled sd or variance)

(Continue until all groups are covered, not just the compared groups, and subtract by # of group)

Df still = n-1

Linear Combination

Gamma:

SE(Gamma):

H0: gamma = 0 vs Ha: gamma =/= 0

Number of pairs for comparison: Where I = number of groups

Standard Deviation:

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