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- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Visual_Statistics_Use_R_(Shipunov)/04%3A_One-Dimensional_Data/4.03%3A_Confidence_intervalsThe test statistic is a single measure of some attribute of a sample; it reduces all the data to one value and with a help of standard distribution, allows to re-create the “virtual population”. There...The test statistic is a single measure of some attribute of a sample; it reduces all the data to one value and with a help of standard distribution, allows to re-create the “virtual population”. Therefore, we reject the null hypothesis, or our initial assumption that mean tree height equals to 0 and consequently, go with the alternative hypothesis which is a logical opposite of our initial assumption (i.e., “height is not equal to 0”):
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Basic_Statistics_Using_R_for_Crime_Analysis_(Choi)/01%3A_Chapters/1.07%3A_T-TestThis page introduces the t-test, a statistical tool used to compare the means of two groups, and explains its use in examining differences in continuous data. Two types of t-tests are discussed: indep...This page introduces the t-test, a statistical tool used to compare the means of two groups, and explains its use in examining differences in continuous data. Two types of t-tests are discussed: independent-samples t-test, for comparing distinct groups, and paired-samples t-test, for comparing the same group over time. The context used involves assessing the impact of Cognitive Behavioral Therapy (CBT) programs on inmates' antisocial attitudes.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/11%3A_The_Chi-Square_Distribution/11.08%3A_Chapter_ReviewThis page discusses the importance of the chi-square distribution in evaluating data fit, population distribution equality, event independence, and variability. It highlights the role of degrees of fr...This page discusses the importance of the chi-square distribution in evaluating data fit, population distribution equality, event independence, and variability. It highlights the role of degrees of freedom in shaping the distribution, which is right-skewed and approaches normality for df > 90.
