What is a Lilliefors significance correction?

What is a Lilliefors significance correction?

The Lilliefors correction has been employed in the Explore procedure (EXAMINE command) to correct the significance value for use of the sample mean and SD in place of a hypothesized population mean and SD.

What does the Kolmogorov Smirnov test show?

The two sample Kolmogorov-Smirnov test is a nonparametric test that compares the cumulative distributions of two data sets(1,2). The KS test report the maximum difference between the two cumulative distributions, and calculates a P value from that and the sample sizes.

What is a test statistic value example?

A test statistic measures the degree of agreement between a sample of data and the null hypothesis. Its observed value changes randomly from one random sample to a different sample. For example, the test statistic for a Z-test is the Z-statistic, which has the standard normal distribution under the null hypothesis.

How do you read a Shapiro Wilk test?

If the Sig. value of the Shapiro-Wilk Test is greater than 0.05, the data is normal. If it is below 0.05, the data significantly deviate from a normal distribution.

How do I find test statistic?

The formula to calculate the test statistic comparing two population means is, Z= ( x – y )/√(σx2/n1 + σy2/n2). In order to calculate the statistic, we must calculate the sample means ( x and y ) and sample standard deviations (σx and σy) for each sample separately. n1 and n2 represent the two sample sizes.

What is a good test statistic?

The test statistic is used to calculate the p-value of your results, helping to decide whether to reject your null hypothesis….Type of test.

Type of test Which statistics to report
Tests of difference between groups Test statistic Degrees of freedom p-value for the test statistic

What does Shapiro test show?

The Shapiro-Wilks test for normality is one of three general normality tests designed to detect all departures from normality. The test rejects the hypothesis of normality when the p-value is less than or equal to 0.05.

What is W value in Shapiro Wilk test?

In the Shapiro-Wilk W test, the null hypothesis is that the sample is taken from a normal distribution. This hypothesis is rejected if the critical value P for the test statistic W is less than 0.05. The routine used is valid for sample sizes between 3 and 2000.