Term
| 4 characteristics of the chi-square distribution |
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Definition
1. It is not symmetric
2. The shape of the chi-square distribution depends on the degrees of freedom
3. As the number of degrees of freedom increases, the chi-square distribution becomes more symmetric
4. The values of X^2 are nonnegative (>=0) |
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Term
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Definition
| An inferential procedure used to determine whether a frequency distribution follows a specific distribution |
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Term
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Definition
| The expected number of outcomes for each independent observation |
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Term
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Definition
| Observed counts of category i |
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Term
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Definition
| Expected counts of category i |
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Term
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Definition
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Term
| Test statistic for goodness-of-fit tests, X^2 = |
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Definition
Summation[(Oi-Ei)^2/Ei]
i = 1, 2,…,k |
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Term
| 2 assumptions for test statistic for goodness-of-fit |
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Definition
1. All expected frequencies are >=1
2. no more than 20% of the expected frequencies are less than 5 |
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Term
| All hypothesis tests for goodness-of-fit are |
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Definition
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Term
Right-tailed test, goodness-of-fit
H0:
H1: |
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Definition
H0: The random variable follows a certain distribution
H1: The random variable does not follow a certain distribution |
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Term
Goodness-of-fit test, classical approach
X0^2 > Xalpha^2 |
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Definition
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Term
Goodness-of-fit test, classical approach
X0^2 < Xalpha^2 |
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Definition
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Term
Goodness-of-fit test, p-value approach
P-value < alpha |
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Definition
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Term
Goodness-of-fit test, p-value approach
P-value > alpha |
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Definition
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