Term
| Chi-square distribution, chi^2 = |
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Definition
(n-1)s^2/sigma^2
where s^2 is a sample variance has a chi-square distribution with n-1 degrees of freedom |
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Term
| 1. Characteristics of chi-square distribution |
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Definition
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Term
| 2. Characteristics of chi-square distribution |
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Definition
| The shape of the chi-square distribution depends on the degrees of freedom |
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Term
| 3. Characteristics of chi-square distribution |
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Definition
| As the number of degrees of freedom increases, the chi-square distribution becomes more nearly symmetric |
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Term
| 4. Characteristics of chi-square distribution |
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Definition
| The values of chi^2 are nonnegative; greater than or equal to 0 |
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Term
| 2 assumptions for testing hypotheses about a population variance or sd |
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Definition
1. The sample is obtained using simple random sampling
2. The population is normally distributed |
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Term
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Definition
H0: sigma = sigma0
H1: sigma not=to sigma0 |
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Term
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Definition
H0: sigma = sigma0
H1: sigma < sigma0 |
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Term
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Definition
H0: sigma = sigma0
H1: sigma > sigma0 |
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Term
Two-tailed test, classical approach
If chi0^2 > chi^2(alpha/2), then |
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Definition
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Term
Left-tailed test, classical approach
If chi0^2 < chi^2(1-alpha/2), then |
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Definition
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Term
Right-tailed test, classical approach
If chi0^2 > chi^2(alpha/2), then |
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Definition
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Term
P-value approach
If p-value < alpha, then |
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Definition
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Term
P-value approach
If p-value > alpha, then |
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Definition
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