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comm3023_ch12p1_2020.pptx

Chapter 12

Quantitative Data Analysis: Part 1

Process of Quantitative Data Analysis

Steps in Data Processing

Coding

Transforming data into numbers

Entering

Input data into a data file with rows for cases and columns for variables

Cleaning

Detecting and resolving errors in the data file

Verification of data entries

Wild-code and consistency checking

Data Inspection and Modification

Look for extreme values or outliers in your data.

Prevalence of missing values

Listwise deletion

Imputation

How data may be modified by recoding and by combining two or more variables

Descriptive and Inferential Statistics

Descriptive statistics

Help us organize and summarize data with the goal of making them more intelligible.

Inferential statistics

Help us to estimate population characteristics based on sample data and test hypotheses.

Calculating Descriptive Statistics

Involves producing frequency and percentage distributions

Involves calculating a variety of univariate statistics

Measures of central tendency

Measures of dispersion

Measures of Central Tendency

Mean = It is an unbiased estimate of the population mean.

Median = It is the 50th percentile value in an ordered distribution

Mode = Most frequently occurring score

Measures of Variability or Dispersion

Range = Difference between the highest and lowest values in a distribution of values

Variance = average deviation of scores from the mean

Standard deviation = standardized average deviation from the mean.

Reflects the shape of the distribution for a set of data

Describing Data Distributions

Data distributions can broadly be described as having a

Normal distribution

Skewed distribution

Mean > median or mode (positive)

Mean < median or mode (negative)

Data distributions can also be described based on height (kurtosis value):

Platykurtic

Mesokurtic

Leptokurtic

Normal Distribution and Standard Deviation

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Concluding Thoughts on Descriptive Statistics

Type of descriptive statistics calculated for a given variable depends on the level of measurement for the variable.

Nominal or ordinal level of measurement

Interval or ratio level of measurement

Descriptive statistics can be summarized visually using a variety of formats such as:

Tables

Graphs (Histogram, pie chart)