# The Importance of Statistics in Psychology (With Examples)

The field of statistics is concerned with collecting, analyzing, interpreting, and presenting data.

In the field of psychology, statistics is important for the following reasons:

Reason 1: Descriptive statistics allow psychologists to summarize data related to human performance, happiness, and other metrics.

Reason 2: Regression models allow psychologists to quantify the relationship between variables related to human performance, happiness, and other metrics.

Reason 3: Hypothesis tests allow psychologists to compare the effectiveness of different methods, techniques, and procedures on human performance, happiness, and other metrics.

In the rest of this article, we elaborate on each of these reasons.

### Reason 1: Using Descriptive Statistics to Summarize Data

Descriptive statistics are used to describe data.

Psychologists often use descriptive statistics to summarize data related to individuals.

For example, an industrial-organizational psychologist might calculate the following descriptive statistics for individuals who work at a certain company:

• Overall satisfaction with salary (e.g. scale of 1-7)
• Overall satisfaction with workplace culture
• Overall satisfaction with working hours

Using these metrics, an I/O psychologist can gain a better understanding of how satisfied employees are at the company.

They can then use these metrics to inform the organization on areas that could use improvement to make the workplace a more enjoyable environment for the employees.

### Reason 2: Using Regression Models to Quantify the Relationship Between Variables

Another way that statistics is used in psychology is in the form of regression models.

These are models that allow psychologists to quantify the relationship between one or more predictor variables and a response variable.

For example, a psychologist may have access to data on total hours spent exercising per day, total hours spent working per day, and overall  happiness (e.g. scale of 0-100) of individuals.

They might then build the following multiple linear regression model:

Happiness = 76.4 + 9.3(hours spent exercising per day) – 0.4(hours spent working per day)

Here’s how to interpret the regression coefficients in this model:

• For each additional hour spent exercising per day, overall happiness increases by an average of 9.3 points (assuming hours spent working is held constant).
• For each additional hour spent working per day, overall happiness decreases by an average of 0.4 points (assuming hours spent exercising is held constant).

Using this model, a psychologist can quickly understand that more time spent exercising is associated with increased overall happiness and more time spent working is associated with lower overall happiness.

They can also quantify exactly how much exercise and working affect overall happiness.

### Reason 3: Using Hypothesis Tests to Compare Methods

Another way that statistics is used in psychology is in the form of hypothesis tests.

These are tests that psychologists can use to determine if there is a statistical significance between different methods, techniques, or procedures.

For example, suppose a sports psychologist believes that a new workout method is able to increase the mental well-being of college basketball players. To test this, he may measure the well-being (e.g. scale of 1-7) of 40 players before and after implementing the new workout method for one month.

He can then perform a paired samples t- test using the following hypotheses:

• H0: μafter = μbefore (the mean well-being is the same before and after using the method)
• HA: μafter > μbefore (the mean well-being is greater after using the method)

If the p-value of the test is less than some significance level (e.g. α = .05), then he can reject the null hypothesis and conclude that the new method leads to increased well-being among players

Note: This is just one example of a hypothesis test that is used in psychology. Other common tests include a one sample t-test, two sample t-test, one-way ANOVA, and two-way ANOVA.