What is the T-value in a 2 sample t test?
Our t-value of 2 indicates a positive difference between our sample data and the null hypothesis. The graph shows that there is a reasonable probability of obtaining a t-value from -2 to +2 when the null hypothesis is true.
How do you evaluate t test results?
Compare the P-value to the α significance level stated earlier. If it is less than α, reject the null hypothesis. If the result is greater than α, fail to reject the null hypothesis. If you reject the null hypothesis, this implies that your alternative hypothesis is correct, and that the data is significant.
How do you interpret a two-tailed t-test?
A two-tailed test will test both if the mean is significantly greater than x and if the mean significantly less than x. The mean is considered significantly different from x if the test statistic is in the top 2.5% or bottom 2.5% of its probability distribution, resulting in a p-value less than 0.05.
What is the difference between chi square and t-test?
A t-test tests a null hypothesis about two means; most often, it tests the hypothesis that two means are equal, or that the difference between them is zero. A chi-square test tests a null hypothesis about the relationship between two variables.
What is T test used for?
A t-test is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.
Does data need to be normal for t test?
For a t-test to be valid on a sample of smaller size, the population distribution would have to be approximately normal. The t-test is invalid for small samples from non-normal distributions, but it is valid for large samples from non-normal distributions.
What if your data is not normally distributed?
Many practitioners suggest that if your data are not normal, you should do a nonparametric version of the test, which does not assume normality. But more important, if the test you are running is not sensitive to normality, you may still run it even if the data are not normal.
Can we use t-test for large samples?
A t-test, however, can still be applied to larger samples and as the sample size n grows larger and larger, the results of a t-test and z-test become closer and closer. In the limit, with infinite degrees of freedom, the results of t and z tests become identical.
How do you know if data is not normally distributed?
With statistical tests Each of the tests produces a p-value that sums up the results for a researcher: If the p-value is not significant, the normality test was “passed”. If the p-value is significant, the normality test was “failed”. There is evidence that the data may not be normally distributed after all.
Is age normally distributed?
Age can not be from normal distribution. The shape is a clue: bell-shape is one argument for normal distribution. Also, understanding your data is very important. The variable such as age is often skewed, which would rule out normality.