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This type of chi-square test is used when a single random sample is taken from a set of data. The test is used to determine if a population distribution is different than a hypothesized distribution.
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Goodness of Fit
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The actual number of observations that fall into a certain category in the frequency table.
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Observed count
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This type of chi-square test is used when a single random sample of two characteristics is taken from a single population. The test is used to determine if there is an association between the characteristics.
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Independence
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In a two-way frequency table, the name given to the row total and the column totals.
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Marginal total
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For the chi-square test for goodness of fit, these are the values of the hypothesized distribution. For the chi-square tests for homogeneity and independence, these are calculated by multiplying the row total and the column total in the two way table, then dividing by the grand total.
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Expected counts
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The formula to calculate this statistic is sum((observed-expected)^2/expected)
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Chi square
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This type of frequency table describes bi variate categorical data and is used for chi-squared tests for homogeneity and independence.
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Two way
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For the goodness of fit test, is it calculated by number of categories - 1. For the test for homogeneity and independence, it is calculated by (number of rows - 1)(numbers of columns - 1).
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Degrees of freedom
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When the chi-square statistic from the data is greater than the chi squared _______ for the given degrees of freedom, the null hypothesis is rejected.
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Critical value
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This type of frequency table describes uni-variate categorical data and is used for chi-square tests for goodness of fit.
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One way
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This type of chi-square test is used when independent random samples are taken from different populations. The test is used to determine if values are statistically different from populations.
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Homogeneity
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The total number of observations.
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Grand total
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