1.5: Statistical Analysis in Psychology Flashcards
Descriptive Statistics
Involves the use of numerical data to measure and describe the characteristics of groups, and this includes measures of central tendency and variation.
It does not involve making inferences about a population based on sample data.
Inferential statistics
Involves using statistical methods to make inferences about a population based on data.
It allows you to draw conclusions about a population based on the characteristics of a sample.
Specifically, it provides a way to see validity drawn from the results of the experiment
Differences Between Descriptive Statistics & Inferential Statistics
Descriptive statistics describe the data, while inferential statistics tell us what the data means.
What Do You Use When You Summarizing Data?
Descriptive Statistics.
Measures of Central Tendency
Measures of central tendency are statistical values that represent the center or typical value of a dataset.
The three most commonly used measures of central tendency are the mean, median, and mode.
Mean
The average of a set of scores.
You can calculate the mean by summing all of the values in a dataset and dividing by the total number of values.
The mean is sensitive to outliers, or unusually large or small values, and can be affected by them.
Median
The middle score of distribution, separating the higher half of the data from the lower half.
The median is not affected by outliers and can be a better measure of central tendency when the dataset contains outliers.
Mode
The most frequently recurring score in a dataset.
A dataset can have one mode, more than one mode, or no mode. If two scores appear the most frequently, the distribution is bimodal. If three or more scores appear most frequently, the distribution is multimodal.
Measures of Variation
Standard Deviation & Range
Standard Deviation
The most commonly used measure of variation.
A measure of how much the values in a dataset deviate from the mean. It is basically used to assess how far the values are spread below and above the mean.
A dataset with a low standard deviation has values that are relatively close to the mean, while a dataset with a high standard deviation has values that are more spread out.
Range
Range is just the difference between the highest and lowest values in the dataset.
Correlation Coefficient
A statistical measure that describes the strength and direction of the relationship between two variables.
It can range from -1 to 1.
A value of -1 indicates a strong negative relationship, a value of 1 indicates a strong positive relationship, and a value of 0 indicates no relationship.
Positive Correlation
Shows that as one variable increases, the other variable increases.
For example, a positively correlated group may show that as height increases, weight increases as well.
Negative Correlation
Shows that as one variable increases, the other decreases.
An example of a negative correlation could be how as the number of hours of sleep increases, tiredness decreases.
No Correlation
No correlation shows that there is no connection between the two variables.
An example of no correlation could be IQ and how many pairs of pants an individual owns.