3 Matching Annotations
  1. Nov 2025
    1. Repeated measures ANOVA can be regarded as an extension of the paired t-test, used in situations where repeated measurements of the same variable are taken at different points in time (a time series) or under different conditions. Such situations are common in drug trials, but their analysis has certain complexities. Parametric tests based on the normal distribution assume that data sets being compared are independent. This is not the case in a repeated measures study design because the data from different time points or under different conditions come from the same subjects. This means the data sets are related, to account for which an additional assumption has to be introduced into the analysis.

      I concur with the author’s assertion that in repeated measures design, dependencies are formed among data points; however, I would question the notion that this is always a “complexity.” Although it may confuse analysis, it also enriches the study design and discourages individual differences. When the same group of participants was to be measured over again, then we lessen the variability arising from differences between people, which can actually reduce the statistical power of the test. This is by no means an exhaustive list of situations in which it helps to have a firm grasp on the concept, but consider just one example. In behavior analysis or health research, we often measure how well someone is doing, how stressed they are, or how much better they are getting at more than one point in time. This way,y you will be able to utilize the test to verify that observed changes are attributed only to intervention and not random variation or participant differences. Hereby, the material does an interesting job in showing us the importance of acknowledging dependencies in longitudinal data and using appropriate statistical techniques, having that in mind as opposed to assuming that repeated observations are indeed independent.

    2. The Student's t-test is used to test the null hypothesis that there is no difference between two means. There are three variants: One-sample t-test: To test if a sample mean (as an estimate of a population mean) differs significantly from the population mean. In other words, it is used to determine whether a sample comes from a population with a specific mean. The population mean is not always known, but may be hypothesized Unpaired or independent samples t-test: To test if the means estimated for two independent samples differ significantly Paired or related samples t-test: To test if the means of two dependent samples, or in other words two related data sets, differ significantly.

      I would like you to explain to me the criteria used by researchers when deciding which test is better paired t-test or the independent t-test, in situations when samples are connected, but it is not too clearly explained, for example, when participants have certain characteristics in common but are technically individual personalities. Is this still something that can be referred to as “paired,” or should it be handled as independent? From the professional viewpoint, it is very important to know which type of t-test should be used so that you can interpret data correctly. For example, in health and behavioral research, when deciding on the most appropriate test for us, it may be a question of whether or not a certain treatment is considered effective. Misuse of the test can hurt by providing wrong conclusions that affect real-world interventions.

    3. Numerical data that are normally distributed can be analyzed with parametric tests, that is, tests which are based on the parameters that define a normal distribution curve. If the distribution is uncertain, the data can be plotted as a normal probability plot and visually inspected, or tested for normality using one of a number of goodness of fit tests, such as the Kolmogorov–Smirnov test. The widely used Student's t-test has three variants.

      Reading this section, one point I got from it most was on how you should not use a tool before you understand the assumptions that come with it. The text also explains to non-statisticians why parametric tests, such as the t-test, are not always the best choice, and this conjured up some reflective thoughts on how much real-world testing there is for normality in the data. It also raised some inquiries on the Kolmogorov-Smirnov test. I want more explanation of its difference with other tests for normality, like the Shapiro-Wilk test, and when it may be used in preference to the other.