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Why does t-test need normal distribution?
A t-test is a statistic method used to determine if there is a significant difference between the means of two groups based on a sample of data. Among these assumptions, the data must be randomly sampled from the population of interest and the data variables must follow a normal distribution.
What is the purpose of the independent measures t-test?
The Independent Samples t Test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different. The Independent Samples t Test is a parametric test. This test is also known as: Independent t Test.
Can you still use independent measures t-test if the homogeneity of variance assumption is violated?
Independent samples t-tests should not be conducted on continuous variables that violate the assumption of homogeneity of variance. Independent samples t-tests should only be conducted on continuous outcomes between groups that have “equal” or “similar” variances.
Is the t-test valid when x does not follow a normal distribution?
In fact, as the sample size in the two groups gets large, the t-test is valid (i.e. the type 1 error rate is controlled at 5%) even when X doesn’t follow a normal distribution. I think the most direct route to seeing why this is so, is to recall that the t-test is based on the two groups means and .
What do you need to know about independent t test?
The independent t-test requires that the dependent variable is approximately normally distributed within each group. Note: Technically, it is the residuals that need to be normally distributed, but for an independent t-test, both will give you the same result.
When to use a t test in statistics?
The T-Test. A t-test is an analysis of two populations means through the use of statistical examination; a t-test with two samples is commonly used with small sample sizes, testing the difference between the samples when the variances of two normal distributions are not known. T-distribution is basically any continuous probability distribution…
What happens if the t-test assumes normality?
Of course if X isn’t normally distributed, even if the type 1 error rate for the t-test assuming normality is close to 5%, the test will not be optimally powerful. That is, there will exist alternative tests of the null hypothesis which have greater power to detect alternative hypotheses.