How To Find Critical Value In Excel

Whenever yous deport a t-test, you will get a test statistic as a result. To determine if the results of the t-test are statistically significant, you tin can compare the examination statistic to a T critical value. If the absolute value of the exam statistic is greater than the T disquisitional value, then the results of the test are statistically pregnant.

The T critical value tin be found past using a t distribution tabular array or by using statistical software.

To observe the T disquisitional value, you need to specify:

A significance level (common choices are 0.01, 0.05, and 0.ten)
The degrees of freedom
The type of examination (one-tailed or two-tailed)

Using these three values, you can make up one's mind the T critical value to be compared with the test statistic.

Related: How to Detect the Z Critical Value in Excel

How to Find the T Disquisitional Value in Excel

Excel offers 2 functions to find the T critical value.

T.INV

To discover the T critical value in Excel for a one-tailed test, yous can use the T.INV.() function, which uses the following syntax:

T.INV(probability, deg_freedom)

probability:The significance level to use
deg_freedom: The degrees of freedom

This function returns the critical value from the t distribution for a one-tailed exam based on the significance level and the degrees of liberty provided.

T.INV.2T

To find the T disquisitional value in Excel for a two-tailed test, you can use the T.INV.2T() function, which uses the post-obit syntax:

T.INV.2T(probability, deg_freedom)

probability:The significance level to use
deg_freedom: The degrees of freedom

This function returns the disquisitional value from the t distribution for a two-tailed examination based on the significance level and the degrees of freedom provided.

Examples of Finding the T Critical Value in Excel

The following examples illustrate how to detect the T disquisitional value for a left-tailed test, right-tailed test, and a 2-tailed exam.

Left-tailed test

To find the T disquisitional value for a left-tailed test with a significance level of 0.05 and degrees of liberty = 11, we tin type the following formula into Excel: T.INV(0.05, eleven)

This returns the value-1.79588. This is the critical value for a left-tailed test with significance level of 0.05 and degrees of freedom = 11.

Right-tailed test

To find the T critical value for a correct-tailed test with a significance level of 0.05 and degrees of freedom = 11, nosotros can type the following formula into Excel: ABS( T.INV(0.05, 11))

This returns the valueane.79588. This is the critical value for a 2-tailed test with significance level of 0.05 and degrees of freedom = 11.

Two-tailed examination

To discover the T critical value for a ii-tailed examination with a significance level of 0.05 and degrees of freedom = 11, we can type the following formula into Excel: T.INV.2T(0.05, 11)

This returns the value2.200985. This is the critical value for a ii-tailed test with significance level of 0.05 and degrees of liberty = 11.

Annotation that this besides matches the number we would notice in the t distribution table with α = 0.05 for two tails and DF(degrees of freedom) = 11.