Paired T Test: Overview, Questions, Preparation

This chapter has multiple topics listed below:

Statistics Standard Deviation Correlation Bar Graph Chi Square Test Measures of Central Tendency Variance Extrapolation Null Hypothesis Pareto Chart Harmonic Mean How to find Median Statistics Definition Data Collection Methods Frequency Polygons Central Tendency Confidence Interval Data Handling Statistical Inference Quota Sampling Interquartile Range Quartiles Variance and Standard deviation Cluster Analysis Correlation and Regression Graphical Representation Least Square Method Level of Significance Paired T Test Z Score Table Assumed Mean Method Box and Whisker Plot Gamma Distribution Sample Size T Distribution Tests of Significance Types of Statistics Continuous Variable Sample Statistic Exponential Smoothing T Test Table Bivariate Analysis Relative Frequency Difference between Average and ...Difference between Mean and Med...Difference between Parametric a...Grouping data Statistics pdf Mean Absolute Deviation Population and Sample

Rachit Kumar SaxenaManager-Editorial

Updated on Aug 5, 2021 09:47 IST

Table of Contents

What is Paired T-Test?
Weightage of Paired T-Test in Class 11
Illustrated Examples on Paired T-Test
FAQs on Paired T-Test

What is Paired T-Test?

In statistics, if the null hypothesis is defined, a t-test may be interpreted as a statistical hypothesis test where the test statistic supports the t distribution. In the Combined T-Test, two sets of observations equate the means. Both of the two classes must be allocated randomly to the findings such that the difference in reaction observed is due to the treatment and not because of any other variables. If two samples are given, then it is possible to pair the observation of one sample with the observation of the other. This procedure can be used before and after an incident to make conclusions on the same sample.

Description of Paired T-Test

For a group of random samples whose deviations are almost normally distributed, the paired t-test offers a hypothesis analysis of the distinction between population means. In a before-after example or with subjects as close as possible, subjects are also tested. The paired t-test is a test demonstrating that there are zero discrepancies between the two observations.

The Formula of Paired T-Test

The Paired T-test is a test based on the variations between the values of a single pair, one of which is subtracted from the other. This differentiation is marked as d in the formula for a paired t-test. The paired t-test formula is defined as the sum of the differences divided by the square root of each pair of n times the sum of the differences squared minus the sum of the differences squared, n-1 overall.

The paired t-test formula is given by

Paired T-Test Table

The paired T-test table requires the t-value to be transformed from a t-test to a statement of importance. The table is given below:

Weightage of Paired T-Test in Class 11

This concept is taught under the chapter Statistics. You will learn about the formula and its application in solving questions. The weightage of this chapter is 8 marks.

Illustrated Examples on Paired T-Test

1. What is a paired t-test sample used for?

Solution.

Two populations mean that you have two experiments in which findings in one sample can be combined with observations in the other sample and correlated with a paired t-test.

2. How do you know if data is paired or unpaired data?
Solution.

A paired t-test is designed to measure the means in two different cases with the same category or entity. The definitions of two separate or incompatible classes are contrasted by an unpaired t-test. The difference between groups is presumed to be equal in an unpaired t-test. The variation is not considered to be equal in a paired t-test.

FAQs on Paired T-Test

Q: What is a paired t-test sample, and why is it used?

A: When we're interested in the difference between two variables for the same subject, a paired t-test is used. Also, time divides the two factors.

Q: What is the differentiation between the paired t-test and the t-test?

A: A paired t-test is designed to measure the means in two different cases with the same category or entity. The definitions of two separate or incompatible classes are contrasted by an unpaired t-test. The difference between groups is presumed to be equal in an unpaired t-test. The variation is not considered to be equal in a paired t-test.

Q: What's calculated by a paired t-test?

A: The paired t-test sample also referred to as the contingent t-test sample is a statistical method used to assess if zero is the mean difference between two sets of observations. Each subject or object is twice tested in a paired sample t-test, leading to pairs of observations.

Q: What are the T-test assumptions?

A: The common assumptions made when running a t-test include those related to the measuring scale, random sampling, data distribution normality, sample size adequacy, and variance balance in standard deviation.

Q: What is the null hypothesis of a paired t-test?

A: The null statement is that zero is the mean difference between paired measurements. If the mean-variance is zero, the means must therefore be equal for the two groups. The null hypothesis of a paired t-test is generally expressed in terms of the mean difference due to the paired nature of the data.