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Chapter 19

Basic Quantitative Data Analysis

Data Cleaning

Check for odd symbols, truncated or overlong times

Recheck scoring

Recheck coding categories

Compare one variable value with value in second variable

Look for outliers

Reasons for Missing Data

Participant skipped item or questionnaire, purposely or inadvertently

Participant withdrew, became ill, or died

Had to omit all or part of the data collection

Poor directions or poorly worded question

Data missed during data entry

Categorizing Missing Data

Missing completely at random (MCAR)

Missing at random (MAR)

Missing not at random (MNAR)

Replacing Missing Data

Complete case analysis is when you drop any participant from the analysis when they have missing data

If a lot of participants are missing data it may negatively impact the results

Replacing Missing Data

Principles in handling missing data are:

Some missing data cannot be replaced

Imputation uses existing information to estimate the missing values

The easiest approach is to replace missing data with the group’s mean (average) on the item

Replacing Missing Data

Principles in handling missing data are:

A more justifiable approach is to use the average of the individual participant’s scores or ratings on the remaining items of a multi-item scale

Missing values may be estimated from values at previous time points

Replacing Missing Data

Principles in handling missing data are:

Incomplete cases (participants) may be deleted and the analysis may be done on those who completed the study

A regression imputation may be done to estimate the values of the missing data

Replacing Missing Data

Principles in handling missing data are:

Expectation maximization uses a series of iterations to reach convergence

Multiple imputation contrasts and combines replacement values to find the best estimates

Visual Representations

Stem and leaf illustrates distribution of values

Box plots illustrate distribution of values

Bar and pie charts demonstrate differences between groups and subgroups

Plots can show relationships between interval level variables

Basic Descriptive Statistics

Normal distribution is represented by a symmetrical bell-shaped curve

Positive skew has more cases at low end of values

Negative skew has more cases at high end of values

Basic Descriptive Statistics

Mode is the value that occurs most often

Median is the middle score in the distribution

Mean is the average of all scores

Basic Descriptive Statistics

Range is the distance between the highest and lowest scores

The range or distance between these endpoints can be divided into various portions

Basic Descriptive Statistics

Variance is the average of the squared deviations from the mean

Standard deviation is the square root of the variance

Bivariate Association

Bivariate refers to relationships between a set of variables

Pearson product moment correlation coefficient represented as r is the most commonly used bivariate measure of association

Bivariate Association

A correlation matrix can be used to analyze multiple variables at one time to see the differences in the strengths of relationships between various pairs of variables

You may also calculate the coefficient of determination (R2)

Additional Measures of Association

Spearman rank-order correlation is used for ordinal data

The chi-square statistic is used for nominal data

Additional Measures of Association

Fisher’s Exact Test is used if there are less than five cases per cell

The Mann-Whitney U Test is used instead of chi-square if the data are ordinal