26 lines
669 B
TeX
Executable File
26 lines
669 B
TeX
Executable File
\chapter{Tests Reminders}
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\section{\texorpdfstring{$\chi^2$}{chi2} test of independence}
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\section{\texorpdfstring{$\chi^2$}{chi2} test of goodness of fit}
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Check if the observations is in adequation with a particular distribution.
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\begin{example}[Mendel experiments]
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Let $AB$, $Ab$, $aB$, $ab$ be the four possible genotypes of peas: colors and grain shape.
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\begin{tabular}{cccc}
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\toprule
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AB & Ab & aB & ab \\
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\midrule
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315 & 108 & 101 & 32 \\
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\bottomrule
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\end{tabular}
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\end{example}
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The test statistics is:
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\[
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D_{k,n} = \sum_{i=1}^{k} \frac{(N_i - np_i)^2}{np_i} \overunderset{\mathcal{L}}{H_0}{n \longrightarrow \infty} \chi^2_{(n-1)(q-1)??}
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\]
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