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  • t test - Why does t statistic increase with the sample size . . .
    Higher $n$ leads to smaller standard error that gives higher t-value Higher t-value means lower p-value infering that the difference between sample-mean ($\bar{X}$) and population-mean ($\mu$) is significant (hence we reject the null hypothesis)
  • More about the basic assumptions of t-test: normality and . . .
    When the sample size of the control group is doubled, the t-statistic increases by 2 3 times compared with the t-statistic when the sample size is not changed This change results in the decrease of the P value
  • Sample Size: The Impact of Sample Size on T Distribution . . .
    Where \( \bar{x} \) is the sample mean, \( t_{\frac{\alpha}{2}} \) is the t-score for the desired confidence level, \( s \) is the sample standard deviation, and \( n \) is the sample size As \( n \) increases, the margin of error \( \left(\frac{s}{\sqrt{n}}\right) \) decreases, leading to a narrower confidence interval
  • Chapter 10 - T-test Flashcards - Quizlet
    the size of the two samples influences the magnitude of the estimated standard error in the denominator of the t stat As a sample size increases, the value of t also decreases, and the likelihood of rejecting the null also decrease; also, measures of effect size decreases
  • [Q] effect of sample size and variability on T-test . . . - Reddit
    increasing sample size increases the difference Yet another wrong statement or arcane interpretation Increasing sample size will increase the value of t, but it doesn't change the difference in means Unless t is meant to be interpreted as a "normalized difference"
  • What is the impact of doubling a sample size on a p-value
    For the T test we have rules like "Doubling the sample size increases the test statistic by 2–√ 2 " This might make you think that there is a simple relationship between sample size and p-value
  • Exam 3 Flashcards - Quizlet
    Study with Quizlet and memorize flashcards containing terms like what affect does increasing the sample size have on the critical value, how do you decide whether to reject the null hypothesis on SPSS and doing a two tailed test, a larger sample size results in a _____ denominator of the t statistic which will _____the value of the obtained t





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