# Questions tagged [teaching]

For questions about the teaching of probability and statistics, at any level.

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232 views

### What are the Fundamentals of Applied Statistics?

Would the knowledge of the following topics suffice for a crash course on fundamentals of applied statistics? Basics of Probability Descriptive Statistics Estimation Theory Hypothesis Testing The ...
277 views

### how to get the stationary distribution of MCMC (Markov Chain Monte Carlo) model

Based on my reading some course notes as well as the answers and comments to this SO post I started thinking about the general steps for creating a stationary distribution. Assuming my problem were ...
151 views

### What is a very intuitive way to teach the Bayes formula to undergraduates?

I have to teach the Bayes formula to some undergraduates, in the form: $$P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(B|A)P(A)}{P(B)}$$ I was wondering if anyone had any really thoughtful or ...
701 views

### What should a graduate course in experimental design cover?

I have been asked to propose a course in experimental design for advanced graduate students in agronomy and ecology. I have never taken such a course, and was surprised to find that the course might ...
468 views

### Statistical anecdotes [closed]

I was inspired by this question on statistics jokes and wanted to start a similar thread on statistical anecdotes. These are famous stories from the past where statistics have been used to solve some ...
112 views

### Examples to expose fundamental problems when using predictive models

The way some people learn statistics feels (in some sense to me) overly method oriented. The problem is not the teaching material itself. The teaching material usually contains good illustrative ...
1k views

### Should we teach kurtosis in an applied statistics course? If so, how?

Central tendency, spread and skewness can all be defined relatively well, at least on an intuitive basis; the standard mathematical measures of these things also correspond relatively well to our ...
108 views

### Material for teaching R to medical students [closed]

I am planing to start teaching R to undergraduate medical students. I am looking for any material that can help in doing so. These students did not have any experience using R. Another question: Is ...
233 views

### When is 'grading on a curve' appropriate?

Wikipedia defines 'grading on a curve' as a a statistical method of assigning grades designed to yield a pre-determined distribution of grades among the students in a class. The article does ...
64 views

### Why is multi-way ANOVA typically taught with reference to interaction terms, whereas multiple regression isn't?

For instance, reference to an interaction term will almost always be made when Two-way ANOVA is taught. However, when considering a regression with two continuous predictors and one continuous outcome,...
121 views

### What's an intuitive way to explain the different types of validity?

Specifically I'm thinking of a simplified division whereby validity is divided into: Construct validity 1a. Convergent validity 1b. Discriminant validity Criterion related validity 2a. Predictive ...
228 views

### Create simulated path model dataset and save to CSV [closed]

I am teaching a multivariate stats class and wanted to give people some simulated datasets with mediation, path modeling, and other features. I know it's possible to run monte carlo studies in MPlus, ...
95 views

### Introductory examples in computational statistics class

I'm looking for an example of Bayesian inference for a class with the properties: The problem is easy to state, and the model & prior are both pretty reasonable, and R can't really calculate the ...
160 views

### How can I use this data to calibrate markers with different levels of generosity in grading student papers?

12 teachers are teaching 600 students. The 12 cohorts taught by these teachers range in size from 40 to 90 students, and we expect systematic differences between the cohorts, as graduate students were ...
65 views

### Can a study be “confounded” by chance?

This is a question about the definition of confounding, and/or about statistics pedagogy. Suppose that you're doing a study to see if $X$ and $Y$ are associated, but they are not. Unbeknownst to you, ...
4k views

### What are good examples to show to undergraduate students?

I am going to teach statistics as a teaching assistant for the second half of this semester to CS-oriented undergraduate students. Most of the students took the class has no incentive to learn the ...
126 views

### An example of delta method performing poorly

Q: Is there an example of the delta method being used in applied statistics where the sample size needed for a good approximation is practically unfeasible? I am looking for an example from applied ...
429 views

### What would be an example of when L2 is a good loss function for computing a posterior loss?

L2 loss, together with L0 and L1 loss, are three a very common "default" loss functions used when summarising a posterior by the minimum posterior expected loss. One reason for this is perhaps that ...
509 views

### What's an intuitive way to remember the difference between mediation and moderation?

In my experience these two terms frequently confuse students. For teaching purposes I am looking for some way to help students distinguish between them. One way might be to show that the statistical ...
631 views

### How to explain hypothesis testing for teenagers in less than 10 minutes?

For over a year now I've been giving a one-hour "a taste for statistics" class. Each time I get a different group of kids coming over, and I give them the class. The theme of the class is that we run ...
101 views

### Intro Stat Text for Rigorous 3-week Course?

I will be teaching an introductory statistics course to gifted middle-school students over the course 3ish weeks. I'll have about 90 contact hours with the students. Any recommendations on a concise ...
48 views

### Key points for unofficial stats-101 for service guys?

Background: In my previous job there was an official "stats 101" course. It was brilliant. It gave all the production and engineering folks a shared vocabulary, and provided a decent foundation to ...
13k views

### Why do we care so much about normally distributed error terms (and homoskedasticity) in linear regression when we don't have to?

I suppose I get frustrated every time I hear someone say that non-normality of residuals and /or heteroskedasticity violates OLS assumptions. To estimate parameters in an OLS model neither of these ...
209 views

### Demonstration of central limit theorem

I teach basic (very) statistics to prisoners in a medium/high security prison and would like to demonstrate the Central Limit Theorem. The classroom has no resources beyond a white board. I can only ...
210 views

### Real data examples for the Neyman-Pearson lemma?

Are there any interesting (and preferably published for that reason) real data examples to which the Neyman-Pearson lemma for simple binary testing or classification problems applies directly? I am ...
106 views

### notes/materials for short couple of lectures in statistics (causal inference) with minimal math

I'm doing research as part of a project being implemented by a NGO that does randomized controlled trials of international development projects, and I spend a lot of time here in Kenya. The ...
17k views

### Why is the standard deviation defined as sqrt of the variance and not as the sqrt of sum of squares over N?

Today I taught an introductory class of statistics and a student came up to me with a question, which I rephrase here as: "Why is the standard deviation defined as sqrt of variance and not as the sqrt ...
35 views

### What software I use manually adjust a regression line on a graph?

When teaching regression, I used to do an exercise where students would try to guess where the line of best fit is on a scatterplot, and get the sums of squares. They'd move the line around, see how ...
229 views

### What's an intuitive way to explain SS decomposition for a Mixed ANOVA with 1 B/S and 1 W/S variable?

For teaching I need to explain the following diagram to undergraduate students. The diagram is taken from the 7th Edition of Howell's "Statistical Methods for Psychology". The students are familiar ...
778 views

### How to gently introduce epidemiologists/public health coworkers to advanced predictive modeling?

Coming from a social science and epidemiology background, my coworkers were trained on least squares regression, logistic regression, and survival analysis. They like to see 95% confidence intervals ...
120k views

### Real life examples of distributions with negative skewness

Inspired by "real-life examples of common distributions", I wonder what pedagogical examples people use to demonstrate negative skewness? There are many "canonical" examples of symmetric or normal ...
249 views

### Best data series to teach time series econometrics?

I will be teaching a short course on time-series econometrics to third-year undergraduates. It will be part theoretical, part applied (students using econometrics software). I am looking for great ...
2k views

### Example of “real life” use of Bayesian inference on $\mu$ from a normal distribution?

A classic example for students, when teaching Bayesian statistics, is to make inference on the mean parameter $\mu$ of a normal distribution, when it has a prior normal distribution. I would like to ...
519 views

### Random forests visual introduction-level reference or tutorial

I have seen several references, but am looking for something easy to follow that illustrates Random Forests in regression and feature importance applications. I want to make sure that I explain this ...
7k views

### Good PCA examples for teaching

I'm teaching linear algebra to a class of engineers, social scientists and computer programmers. We just did singular value decomposition, and we have an extra day, so I thought I'd talk about the ...
13k views

### Test of independence vs test of homogeneity

I am teaching a basic statistics course and today I will cover the chi-squared test of independence for two categories and the test for homogeneity. These two scenarios are conceptually different, but ...
99 views

### How is this sampling called? (getting a “representative” sample set for teaching)

I know of random sampling and stratified sampling, but what I am not sure what is the name of the type of sampling I need: I wish to work-out an example with my students of simple correlation/...
380 views

### What is the intuition behind (M)ANCOVA and when/why should one use it?

As per my understanding here's the what/why/when of the following hypotheses tests in a crude sense: t-test: Used when comparing means between two samples ANOVA (one way): Used when you have one ...
150 views

### Which statistical topics to teach in European Studies study programme?

Next year, I will teach statistics in bachelor study programme European studies (Faculty of Social and Economic Sciences, Comenius University in Bratislava). According to programme description, ...
921 views

### Recommendations for first time teacher (Intro to Biostatistics)

I'm teaching my first class this fall (Intro to Biostatistics). Anyone have any suggestions for teaching statistics better? Perhaps some example you wish your first teacher had used? I'm using ...
117 views

### Book/chapter/article recommendation for beginners level confirmatory factor analysis?

I am looking for a text that will help me provide explanations suited to undergraduate level. I've found that Andy Field's "Discovering Statistics Using..." series allowed me to pitch things at the ...
3k views

### Which statistical software is suitable for teaching an undergraduate introductory course of statistics in social sciences?

I am looking for a statistical software package which I can use in an introductory course of statistics for a social science study programme. The students have no prior knowledge of statistics and no ...
429 views

### How should a math-paranoid programmer learn stats?

(this is the opposite of "introduction to statistics for mathematicians") I'm a programmer who loves writing logic and even a libsvm vector embedding library to my name. Now I'm getting asked ...
266 views

### Relating conditional probability and conditional entropy

I am teaching undergrad computer security and look for a semi-formal way to make students understand the notion of a one-time pad (OTP). To this end, consider the following exercise: Suppose you ...
789 views

### Vector calculus in statistics

I'm teaching a class on integration of functions of several variables and vector calculus this semester. The class is made up most of economics majors and engineering majors, with a smattering of math ...
32k views

### Any suggestions for a good undergraduate introductory textbook to statistics?

I am hoping you can give me some suggestions. I am teaching in a very diverse (made of minority groups) college and the students are mostly Psychology majors. Most students are fresh from high school ...
223 views

### how would you approach giving an introductory class about Bayesian statistics?

I need to give a lecture about Bayesian statistics, introducing it to people who have already basic knowledge of classic statistics (but not too much of it in general). I want to start with some ...
3k views

### Examples of processes that are not Poisson?

I am looking for some good examples of situations that are ill-suited to model with a Poisson distribution, to help me explain the Poisson distribution to students. One commonly uses the number of ...