KNES 375 Chapter 5: 375 Unit 5 Part 1

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KNES 375 Unit 5 Notes (Part 1)
Inferential Statistics
Overview
Sampling Theory
Null Hypothesis
Sampling Error
Students’ t-Test
o 2 Independent Groups
o 2 Dependent Groups
One-Way ANOVA
One-Way ANOVA with Repeated Measures
Two-Way ANOVA with Repeated Measures
Two-Way ANOVA, Factorial Design
WILL NOT GET EQUATION FOR MEAN AND STANDARD DEVIATION ON THE MIDTERM
Introduction
Is there a difference between the group means?
E.g., You have a high school Physical Education class and you want to divide them into two
volleyball teams of similar height
o Random Selection
o Mean height will be different
Is this because of a sampling error?
OR is there a significant height difference?
Essentially, you want to compare two groups!
o Is group 1 similar to group 2?
o E.g., do alpine skiers have a different VO2max than speed skaters?
Alpine skiers = 53 mL/kg/minute
Speed skaters = 61 mL/kg/min
At first glance, they appear to be different, but is this difference
significant? Use a t-test to figure out the magnitude of difference
o P value must be less than selected α value
o Dependent t-test for teams over a time frame, tested over and over again
o Should use an independent t-test for this
If differences are statistically significant then the difference between the groups is NOT due to
sampling error.
If differences are not statistically significant then the difference between groups is simply due to
sampling error.
o A small expected difference
In the big scheme of things…
DATA SET = Want to use our data sets for parametric statistics want interval/ratio data. Want
similarity of units (measuring the same thing)
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