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What conditions are required for the t-test?
Calculating a t-test requires three key data values. They include the difference between the mean values from each data set (called the mean difference), the standard deviation of each group, and the number of data values of each group. The outcome of the t-test produces the t-value.
What conditions must be met in order to use the t distribution?
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
In which condition do we apply t test and Anova?
The Student’s t test is used to compare the means between two groups, whereas ANOVA is used to compare the means among three or more groups. In ANOVA, first gets a common P value. A significant P value of the ANOVA test indicates for at least one pair, between which the mean difference was statistically significant.
What are the required conditions for using a t test?
Required conditions for using a t-test. up vote 3 down vote favorite. The conditions that I have learned are as follows: If the sample size less than 15 a t-test is permissible if the sample is roughly symmetric, single peak, and has no outliers. If the sample size at least 15 a t-test can be used omitting presence of outliers or strong skewness.
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.
Is the t test OK with N = 100?
When n is large, even though one of our observations might be in the tail of the distribution, all the other observations near the centre of the distribution keep the mean down. This suggests that the t-test should be ok with n=100, for this particular X distribution.
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…