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This set of flashcards covers key concepts and terms related to the paired samples t-test, essential for understanding its application and interpretation in statistics.
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Paired Samples T-Test
A statistical method used to compare means from the same group at different times.
Null Hypothesis (H0)
The hypothesis that there is no effect or difference, often stated as the means being equal.
Alternative Hypothesis (H1)
The hypothesis that indicates the presence of an effect or difference, often stated as the means being different.
Significance Level (Alpha)
The probability of rejecting the null hypothesis when it is actually true, commonly set at 0.05.
T-Statistic
A ratio that compares the difference between the means of paired samples relative to the variability of the samples.
Degrees of Freedom
Calculated as the number of pairs minus one (n-1), used to determine the critical t value.
Confidence Interval
A range of values derived from the sample that is believed to contain the true population parameter with a specified probability.
Effect Size
A quantitative measure of the magnitude of the experimental effect, often used to complement the T-test.
Assumptions of the Paired T-Test
The data should be normally distributed, the samples are dependent, and the observations are continuous.