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  • https://stats.libretexts.org/Courses/Rio_Hondo_College/PSY_190%3A_Statistics_for_the_Behavioral_Sciences/14%3A_Chi-square/14.03%3A__Statistic
    The calculations for our test statistic in χ² tests combine our information from our observed frequencies ( O ) and our expected frequencies ( E ) for each level of our categorical variable. For eac...The calculations for our test statistic in χ² tests combine our information from our observed frequencies ( O ) and our expected frequencies ( E ) for each level of our categorical variable. For each cell (category) we find the difference between the observed and expected values, square them, and divide by the expected values. We then sum this value across cells for our test statistic.
  • https://stats.libretexts.org/Workbench/PSYC_2200%3A_Elementary_Statistics_for_Behavioral_and_Social_Science_(Oja)_WITHOUT_UNITS/16%3A_Chi-Square/16.03%3A_Goodness_of_Fit__Formula
    Let's see how the formula works in practice...
  • https://stats.libretexts.org/Courses/Taft_College/PSYC_2200%3A_Elementary_Statistics_for_Behavioral_and_Social_Sciences_(Oja)/03%3A_Relationships/16%3A_Chi-Square/16.03%3A_Goodness_of_Fit__Formula
    Let's see how the formula works in practice...
  • https://stats.libretexts.org/Courses/Sacramento_City_Colllege/PSYC_330%3A_Statistics_for_the_Behavioral_Sciences_with_Dr._DeSouza/15%3A_Chi-square/15.03%3A__Statistic
    The calculations for our test statistic in χ² tests combine our information from our observed frequencies ( O ) and our expected frequencies ( E ) for each level of our categorical variable. For eac...The calculations for our test statistic in χ² tests combine our information from our observed frequencies ( O ) and our expected frequencies ( E ) for each level of our categorical variable. For each cell (category) we find the difference between the observed and expected values, square them, and divide by the expected values. We then sum this value across cells for our test statistic.

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