Research Methods and Statistics: Descriptive and Inferential Statistics

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28 Questions

What is the purpose of descriptive statistics?

Describing a phenomena

Which type of statistics is used with categorical (nominal) data?

Frequencies & percentages

What does inferential statistics involve?

Making inferences about a phenomena

What measurements are typically presented using descriptive statistics?

All of the above

What is the main purpose of logistic regression in statistics?

Predicting future outcomes

Which type of statistics is used for hypothesis testing?

Significance testing

What type of data can be displayed using a pie chart or frequency distributions table?

Interval/ratio data

Inferential statistics use a sample of data to make predictions about larger populations or about unobserved/future trends. Which of the following is an example of inferential statistics tool?

Chi-square test

What type of data can be converted into categorical data by grouping values together and then calculating frequencies and percentages for each group?

Interval/ratio data

What type of data is often normally distributed and forms a 'bell shaped' curve?

Interval/ratio level data

Which statistical tool is used when you want to know about the association or relationship between two continuous variables?

Correlation analysis

What does the correlation coefficient (Pearson’s r) range from?

-1 to +1

What are the three basic categories of measures in descriptive statistics?

Measures of central tendency, measures of variability, and frequency distribution.

What are the two types of numerical variables in statistics?

Discrete and continuous variables.

What is the purpose of logistic regression in statistics?

To model the relationship between a binary dependent variable and one or more independent variables.

What type of statistics is used for hypothesis testing?

Inferential statistics.

When is bivariate analysis used in statistics?

To understand the association or relationship between two continuous variables.

What are the two types of categorical variables in statistics?

Nominal and ordinal variables.

What is the most frequently occurring value in a dataset called?

Mode

What is the middle value when the data are ordered from low to high?

Median

What is the mean calculated on the data set with the top 5% and bottom 5% of values removed?

5 percent trimmed mean

What is the indication of the expected error when estimating the population mean?

95% Confidence Interval for the mean

What is the measure of the average value of the data set?

Mean

Which measure of central tendency is suitable for nominal data and above?

Mode

In which type of data is the median suitable?

Ordinal levels of measurement and above

What makes the 5 percent trimmed mean more resistant to outliers than the mean?

Top 5% and bottom 5% of values removed

For which type of data is the mean only truly applicable?

Interval and ratio data

What is the middle value when the data are ranked in ascending order?

Median

Study Notes

Descriptive Statistics

  • The purpose of descriptive statistics is to summarize and describe the basic features of a dataset.
  • Descriptive statistics typically present measurements such as mean, median, mode, and range.

Types of Data

  • Categorical (nominal) data is analyzed using non-parametric statistics.
  • Numerical variables in statistics are categorized into two types: discrete and continuous.
  • Categorical variables in statistics are categorized into two types: nominal and ordinal.

Inferential Statistics

  • Inferential statistics involves using a sample of data to make predictions about larger populations or about unobserved/future trends.
  • Inferential statistics tools include logistic regression.
  • Inferential statistics is used for hypothesis testing.

Data Analysis

  • Bivariate analysis is used when you want to know about the association or relationship between two continuous variables.
  • Pearson's r correlation coefficient ranges from -1 to 1.
  • Pie charts and frequency distributions tables are used to display categorical data.
  • Continuous data can be converted into categorical data by grouping values together and then calculating frequencies and percentages for each group.
  • Normally distributed data often forms a 'bell-shaped' curve.

Measures of Central Tendency

  • The three basic categories of measures in descriptive statistics are measures of central tendency, measures of variability, and data distribution.
  • The mean is a measure of the average value of the data set.
  • The median is the middle value when the data are ordered from low to high.
  • The mode is the most frequently occurring value in a dataset.
  • The trimmed mean is more resistant to outliers than the mean because it excludes the top 5% and bottom 5% of values.
  • The median is suitable for ordinal data and above.
  • The mean is only truly applicable for continuous data.

Standard Error

  • The standard error is an indication of the expected error when estimating the population mean.

This quiz covers topics related to research methods and statistics, including descriptive statistics, inferential statistics, correlation, t-tests, chi-square, logistic regression, frequencies, percentages, means, standard deviations, hypothesis testing, confidence intervals, significance testing, and prediction.

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