Concepts

An Explanation of Chi-Squared Distributions

X2 Tests Part I

X2 Tests Part II

X2 Tests Part III

X2 Tests Part IV

Homogeneity X2
Part I

X2 Contingency Testing

Contingency X2

Homogeneity
X2 - A

Homogeneity X2
Part II

The Calculation
of X2

Homework Assignment #3 Questions

 

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Homogeneity X2 - A

X2 is calculated based on the sum of all experiments, summed over each class. A X2 is calculated for each experiment separately. The homogeneity X2 is calculated from the sum of the X2 calculated separately for each experiment minus the X2 calculated from the sum of each class across all experiments.

Example

Plants   Round Wrinkled df X2
1 Observed 45 12    
  Expected 42.75 14.25    
  (O-E)2/E 0.12 0.36 1 0.48
 
2 Observed 27 8    
  Expected 26.25 8.75    
  (O-E)2/E 0.02 0.06 1 0.08
 
3 Observed 24 7    
  Expected 23.25 7.75    
  (O-E)2/E 0.02 0.07 1 0.09
 
4 Observed 19 10    
  Expected 21.75 7.25    
  (O-E)2/E 0.35 1.04 1 1.39
 
5 Observed 32 11    
  Expected 32.25 10.75    
  (O-E)2/E 0.002 0.006 1 0.01
 
Totals       5 2.05

Copyright 2000©, Ted Helms

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