Table of Contents

## What paired data examples?

Examples of Paired Data

- Example 1: Duplicate Measurements.
- Example 2: Pre-Post Measurements.
- Perform a paired t-test.
- Calculate the correlation between the two datasets.

### How do you write a paired samples t-test?

You will want to include three main things about the Paired Samples T-Test when communicating results to others.

- Test type and use. You want to tell your reader what type of analysis you conducted.
- Significant differences between conditions.
- Report your results in words that people can understand.

#### What is a paired t-test in statistics?

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample.

**What is a one sample t test example?**

A one sample test of means compares the mean of a sample to a pre-specified value and tests for a deviation from that value. For example we might know that the average birth weight for white babies in the US is 3,410 grams and wish to compare the average birth weight of a sample of black babies to this value.

**Why would you use a paired t-test?**

A paired t-test is used when we are interested in the difference between two variables for the same subject. Often the two variables are separated by time. For example, in the Dixon and Massey data set we have cholesterol levels in 1952 and cholesterol levels in 1962 for each subject.

## Is a paired t-test two-tailed?

The paired sample t-test hypotheses are formally defined below: The null hypothesis (H0) assumes that the true mean difference (μd) is equal to zero. The two-tailed alternative hypothesis (H1) assumes that μd is not equal to zero. The upper-tailed alternative hypothesis (H1) assumes that μd is greater than zero.

### When should I use paired t-test?

A paired t-test is used when we are interested in the difference between two variables for the same subject. Often the two variables are separated by time.

#### When should a paired t-test be performed instead of a two-sample t-test?

Two-sample t-test is used when the data of two samples are statistically independent, while the paired t-test is used when data is in the form of matched pairs.

**When should a paired t-test be performed instead of a two sample t test?**

**What is t-test explain with example?**

It lets you know if those differences in means could have happened by chance. The t test is usually used when data sets follow a normal distribution but you don’t know the population variance. For example, you might flip a coin 1,000 times and find the number of heads follows a normal distribution for all trials.

## What is the difference between a paired t-test and a 2 sample t test?

### How do you know if its a paired t-test?

The paired sample t-test has four main assumptions:

- The dependent variable must be continuous (interval/ratio).
- The observations are independent of one another.
- The dependent variable should be approximately normally distributed.
- The dependent variable should not contain any outliers.

#### What is the difference between a paired and unpaired t-test?

A paired t-test is designed to compare the means of the same group or item under two separate scenarios. An unpaired t-test compares the means of two independent or unrelated groups. In an unpaired t-test, the variance between groups is assumed to be equal. In a paired t-test, the variance is not assumed to be equal.