RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CONFIDENCE INTERVALS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the degrees of freedom equal to for the t distribution?
A
n
B
n+1
C
1-n
D
n-1
Explanation: 

Detailed explanation-1: -The degrees of freedom represent the number of values in a statistical calculation that are free to vary. In the case of the t-distribution, the degrees of freedom are N-1 as one degree of freedom is reserved for estimating the mean, and N-1 degrees remain for estimating the variability.

Detailed explanation-2: -In the data processing, freedom degree is the number of independent data, but always, there is one dependent data which can obtain from other data. So, freedom degree=n-1.

Detailed explanation-3: -The one-sample t-test is a statistical test that can be used to determine whether there is a significant difference between the sample mean and the population mean. The t-test statistic (T) follows a t-distribution with n – 1 degrees of freedom, where n is the number of observations in the sample.

Detailed explanation-4: -What are Degrees of Freedom? Degrees of freedom in the left column of the t distribution table. Degrees of freedom of an estimate is the number of independent pieces of information that went into calculating the estimate. It’s not quite the same as the number of items in the sample.

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