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  • 8.7: Correlated Pairs
    https://stats.libretexts.org/Courses/Luther_College/Psyc_350%3ABehavioral_Statistics_(Toussaint)/08%3A_Tests_of_Means/8.07%3A_Correlated_Pairs
    The result is that the standard error of the difference between means is smaller in the correlated \(t\) test and, since this term is in the denominator of the formula for \(t\), results in a larger \...The result is that the standard error of the difference between means is smaller in the correlated \(t\) test and, since this term is in the denominator of the formula for \(t\), results in a larger \(t\). Therefore, the variance of difference scores is the variance in the first condition (\(X\)) plus the variance in the second condition (\(Y\)) minus twice the product of
  • 12.7: Correlated Pairs
    https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Lane)/12%3A_Tests_of_Means/12.07%3A_Correlated_Pairs
    The result is that the standard error of the difference between means is smaller in the correlated \(t\) test and, since this term is in the denominator of the formula for \(t\), results in a larger \...The result is that the standard error of the difference between means is smaller in the correlated \(t\) test and, since this term is in the denominator of the formula for \(t\), results in a larger \(t\). Therefore, the variance of difference scores is the variance in the first condition (\(X\)) plus the variance in the second condition (\(Y\)) minus twice the product of

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