Publications by Robb Sinn
S4: Proportion Tests
I. Data There are two main data types: qualitative and quantitative. Quantitative data sets are comprised of lists of numbers and often referred to as numeric data. Qualitative data sets refer to lists of categorizations, like class rank in college. If we think of CLASS as a qualitative variable, it has four levels: freshman, sophomore, junior an...
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S0: Tools for Statistics
I. RStudio The course notes for the statistics portion of this course will be contained in dynamic R Notebooks. While reading through the notes, you will be prompted to try executing R code snippets to see graphics and statistics. We will be using the software RStudio to work with R. Download RStudio Please follow the link to the RStudio Downloa...
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S2: Experiments, Data and Conclusions: The Lady Tasting Tea
I. How do we design an experiment? Muriel’s claim seemed crazy. The British scholars and researchers who heard her laughed. No way, they said, could she do it. What Muriel Tasted Think about adding cool milk to steaming hot tea. The first few drops of milk get scalded leaving a hint of a burnt taste because they have been heated too quickly. I...
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S5: Hypothesis Testing: Means
I. Data There are two main data types: qualitative and quantitative. The previous module on Proportion Testing dealt with qualitative data sets. This module will deal with quantitative data. We have two main tools when working with quantitative data: \(t\)-procedures ANOVA The \(t\)-test works well but is limited to single sample tests and situ...
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S3: The Central Limit Theorem and Normal Distributions
The Central Limit Theorem basically says that all sampling distributions turn out to be bell-shaped. We saw an example of a sampling distribution the in The Lady Tasting Tea module. We took repeated samples of coin flips where \(n=8\), and after thousands of samples, we plotted the results. Using those empirical results, we estimated the probabi...
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Homework Sets for Statistics
The four homework sets below target important ideas from each module. Your grades on these will count as bonus points for your content quiz average. Remember to complete not only the code blocks needed but also to provide detailed written explanations of your analyses and findings. I. Homework Set 1 Covers Modules S1, S2 and S3 Due Date: Friday...
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Chi-Squared Goodness of Fit
I. Initialization Block Initializing RStudio If you execute the code block below, RStudio will prompt you to install Mosaic if needed. library(mosaic) II. Exercises A baseball card company claims that 25% of its cards are rookies, 65% are veterans but not All-Stars, and 10% are veteran All-Stars. Suppose a random sample of 200 cards has 70 roo...
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Basics of Correlation and Regression
I. Initialization Block Initializing RStudio The data set we will use primarily is Data3350 which was produced in 2015 during an undergraduate research project about personality and humor. The VarsData3350 PDF file has descriptions of each variable in the Data3350 file. Both are available for download in D2L. Be sure to put the Data3350 in your ...
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Statistical Estimation
I. Initialization Block Initializing RStudio The data set we will use primarily is Data3350 which was produced in 2015 during an undergraduate research project about personality and humor. The VarsData3350 PDF file has descriptions of each variable in the Data3350 file. Both are available for download in D2L. Be sure to put the Data3350 in your ...
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Central Limit Theorem and Normal Distributions: HW Version
I. Initializing Block Initializing RStudio The Mosaic package was created by statistics instructors to help students learn the coding in R. Commands are streamlined to be more intuitive. Execute the code block below to load Mosaic (required each session). library(mosaic) II. Exercises Find the percentile ranking for an IQ score of 120 using th...
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