# Statistics Assignment Help With Bartlett's Test For Homogeneity

## 11.10 Bartlett's Test For Homogeneity Of Several Independent Estimates Of The Same Population Variance:

Let

Be the unbiased estimate of the population variance, obtained from the ith sample Xij,(j=1, 2, …….ni)and based on vi = (ni – 1) degrees if freedom, all the k samples being independent.

Under the null hypothesis that the samples come from the same population with variance σ2, that is the independent estimates , (i =1,2,….k) of σ2are homogeneous, Bartlet proved that the statistic

Where

Follows chi-square distribution with (k-1) degrees of freedom.

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### Following are some of the topics in Exact Sampling distributions in which we provide help:

- Exact Sampling distributions
- Derivation Of The Chi Square Distribution
- Moment Generating Function Of x
^{2}Distribution - Cumulant Generating Function Of x
^{2}Distribution - Limiting form of x
^{2}distribution for large degrees of freedom - Characteristic function of x
^{2}distribution: - Chi Square Probability Curve
- Conditions For The Validity Of Chi Square Test

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