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  • https://stats.libretexts.org/Courses/Taft_College/PSYC_2200%3A_Elementary_Statistics_for_Behavioral_and_Social_Sciences_(Oja)/02%3A_Mean_Differences/09%3A_Independent_Samples_t-test/9.01%3A_Introduction_to_Independent_Samples_t-test/9.1.01%3A_Another_way_to_introduce_independent_sample_t-tests...
    If we used statistical software to calculate this t-test, we'd get a statistical sentence of: t(31)=2.12, p<.05 This is telling you that the results for the calculated t-test was 2.12, that the degree...If we used statistical software to calculate this t-test, we'd get a statistical sentence of: t(31)=2.12, p<.05 This is telling you that the results for the calculated t-test was 2.12, that the degrees of freedom are 31, and that the probability is less than 5% that the groups are similar (that they are from the same popuolation).
  • https://stats.libretexts.org/Workbench/PSYC_2200%3A_Elementary_Statistics_for_Behavioral_and_Social_Science_(Oja)_WITHOUT_UNITS/09%3A_Independent_Samples_t-test/9.01%3A_Introduction_to_Independent_Samples_t-test/9.1.01%3A_Another_way_to_introduce_independent_sample_t-tests...
    If we used statistical software to calculate this t-test, we'd get a statistical sentence of: t(31)=2.12, p<.05 This is telling you that the results for the calculated t-test was 2.12, that the degree...If we used statistical software to calculate this t-test, we'd get a statistical sentence of: t(31)=2.12, p<.05 This is telling you that the results for the calculated t-test was 2.12, that the degrees of freedom are 31, and that the probability is less than 5% that the groups are similar (that they are from the same popuolation).
  • https://stats.libretexts.org/Workbench/Learning_Statistics_with_SPSS_-_A_Tutorial_for_Psychology_Students_and_Other_Beginners/10%3A_Comparing_Two_Means/10.03%3A_The_Independent_Samples_t-test_(Student_Test)
    In the original “Student t-test”, we make the assumption that the two groups have the same population standard deviation: that is, regardless of whether the population means are the same, we assume th...In the original “Student t-test”, we make the assumption that the two groups have the same population standard deviation: that is, regardless of whether the population means are the same, we assume that the population standard deviations are identical, σ 1 =σ 2 . Since we’re assuming that the two standard deviations are the same, we drop the subscripts and refer to both of them as σ.
  • https://stats.libretexts.org/Courses/Cerritos_College/Introduction_to_Statistics_with_R/11%3A_Comparing_Two_Means/11.03%3A_The_Independent_Samples_t-test_(Student_Test)
    In the original “Student t-test”, we make the assumption that the two groups have the same population standard deviation: that is, regardless of whether the population means are the same, we assume th...In the original “Student t-test”, we make the assumption that the two groups have the same population standard deviation: that is, regardless of whether the population means are the same, we assume that the population standard deviations are identical, σ 1 =σ 2 . Since we’re assuming that the two standard deviations are the same, we drop the subscripts and refer to both of them as σ.

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