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Revision as of 20:01, 16 November 2019

Practical Statistics for Educators edited and maintained by Frank LaBanca, EdD



Philosophy

Quantitative statistical analyses can be intimidating for many educators pursing an advanced academic degree. The thought of computational math can sometimes trigger unwarranted fears.

Here, we approach statistics from a straightforward conceptually-based perspective. Our goal is to collaborate and provide insight for statistics that make them meaningful tools in the educational arena.

Each "module" corresponds with the topics presented each week, and will expand as the course progresses. A topical outline can be found @ [1]

Comments and edits are welcome and encouraged! Please give yourself credit as you contribute. At the end of a section you insert please add the following in italics: contributed by <your name> If you are modifying content, add the following under the contribution line: modified by <your name> We are glad to accept as many modifications as necessary to give the most meaning to each section. As we asynchronously socially construct knowledge together, we can recognize the accomplishments and contributions of each writer.

contributed by Frank LaBanca, EdD

Contributions

Our contributors contributions here.

Please submit your contribution at [2]

Modules

1.1 The Greek Alphabet and its significance in statistics

1.2 An introduction to probability PowerPoint @[3]


2.1 Types of Data

2.2 Visualizing Data

2.3 Visually representing data PowerPoint @ [4]

2.3.1 Table 2 from LaBanca dissertation @ [5]

2.3.2 Cool graph of movie box office from NY Times [6]

2.3.4 Histograms

2.3.5 Scatterplots YouTube @ [7]

2.4 Shapes of distribution

2.5 Survey of Attitudes Toward Statistics (SATS) Data Set @ [8]

2.6 Data Screening


3.1 Central Tendency

3.1.1 Central Tendency and Normal Distribution PowerPoint @ [9]

3.1.2 Central Tendency YouTube @ [10]

3.2 Interquartile ranges

3.2.1 The Box Plot

3.3 Standard deviation

3.3.1 Identifying percentile ranks and scores based on standard deviation

3.3.1.a Practice Identifying percentile ranks and scores based on standard deviation

3.4 z-scores


4.1 Percentile Rank 4.1.1 Areas under the standard normal curve for z values @ [11]

4.1.2 z scores corresponding to divisions of the area under the normal curve @ [12]

4.2 Conversion of data PowerPoint @ [13]

4.2.1 Descriptive analysis of USRT data @ [14]

4.3 Normal Curve Equivalent scores

4.3 Standard Error of Measurement

4.4 Confidence Intervals

4.4 z score machine @ [15]


5.1 Pearson r

5.2 Rules of thumb for interpreting the size of a correlation coefficient

5.3 Critical values for the correlation coefficient @ [16]

5.4 Spearman rho

5.5 Correlation PowerPoint @ [17]

5.6 Writing samples for correlations


6.1 Inferential Statistics Definition

6.2 Sampling

6.3 Sampling distributions

6.4 t test PowerPoint @ [18]

6.5 Sample data set @ [19]

6.6 Critical values for t @ [20]


7.1 Effect size

7.1.1 Effect size calculator @ http://www.campbellcollaboration.org/resources/effect_size_input.php

7.1.2 Rules of thumb for interpreting effect sizes

7.2 Effect size PowerPoint @ [21]

7.3 Hypothesis testing

7.4 Hypothesis testing PowerPoint @ [22]

7.5.1 Hypothesis testing template for a correlation @ [23]

7.5.2 Hypothesis testing template for a t test @ [24]


8.1 Type I and Type II Errors

8.2 Type I and Type II Errors PowerPoint @ [25]

8.3 Levene's p versus the test statistic p

8.4 Analysis of Variance

8.5 ANOVA PowerPoint @ [26]

8.6 ANOVA Case study

8.7 Critical values for the F statistic @ [27]

8.7 Rules of thumb for interpreting effect sizes of ANOVAs


9.1 Post Hoc test PowerPoint @ [28]

9.2 Selecting a Post Hoc test

9.3 Hypothesis testing template for ANOVA @ [29]


10.1 Chi square

10.2 Example for calculating chi square

10.3 Critical values for chi square @ [30]

10.4 Chi square analysis description/sample writing

10.5 Chi square PowerPoint @ [31]


11.1 Beyond the ANOVA

11.2 Beyond ANOVA PowerPoint @ [32]

11.3 2-way ANOVA PowerPoint @ [33]

11.4 2-way ANOVA template @ [34]


12.1 MANOVA

12.2 Homogeneity vs Homoscedacity (Levene vs Box's M)

12.3 Post Hoc ANOVAs for MANOVA (univariate)

12.4 Post Hoc Discriminant Analysis (multivariate)

12.5 Covariates

12.6 MANCOVA


13.1 Multiple Regression Analysis 13.2 Multiple Linear Regression


14.1 Internal Consistency[35]

14.2 Cronbach's Alpha[36]

14.2.1 Cronbach's Alpha Values

Applied Research Designs

15.1 Instrumentation

15.2 Limitations

15.3 Practice determining the stat

Getting started