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

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1answer
76 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 ...
0
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0answers
64 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 ...
0
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0answers
31 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 ...
5
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1answer
72 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 ...
5
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1answer
154 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 ...
1
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0answers
38 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 ...
0
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0answers
11 views

Which of these forms of data should I choose to calibrate markers of differing generosity?

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 cohorts, as graduate students were ...
1
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1answer
46 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 ...
3
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1answer
75 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 ...
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0answers
50 views

In-Class Hypothesis Test Activity

I am teaching introductory statistics to a group of gifted middle-school kids. We are covering hypothesis testing tomorrow (starting out with the z-test, then 1-sample t-test, etc.). Do any of you all ...
1
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1answer
39 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 ...
4
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0answers
53 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 ...
0
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0answers
29 views

Teaching situation: discovering/applying steady state in queueing

I am teaching an undergraduate course in Operations Research to business students (they are not: maths students). I want to check, if and how teaching the steady state makes any sense. As in the ...
1
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1answer
72 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, ...
1
vote
1answer
66 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 ...
7
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2answers
130 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 ...
0
votes
1answer
27 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, ...
7
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6answers
869 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 ...
2
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0answers
76 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 ...
7
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1answer
150 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 ...
0
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1answer
72 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 ...
14
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5answers
361 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 ...
0
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1answer
31 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 ...
40
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4answers
4k 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 ...
5
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4answers
119 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 ...
1
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0answers
76 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 ...
2
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0answers
69 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 ...
9
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2answers
3k 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 ...
2
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1answer
25 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 ...
0
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0answers
37 views

clustering versus projection - what are the best example/scenario to explain their differences

I am dealing with non statistician who know are crunching data but don't have a deep understanding of statistics. I am trying to introduce them to non-matrix factorization methods but it has been ...
4
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0answers
131 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 ...
6
votes
1answer
208 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 ...
16
votes
8answers
36k 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 ...
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0answers
134 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 ...
6
votes
1answer
855 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 ...
1
vote
1answer
239 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 ...
7
votes
2answers
359 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 ...
4
votes
2answers
7k 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 ...
4
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2answers
74 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 ...
5
votes
1answer
177 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 ...
9
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3answers
445 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 ...
2
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1answer
89 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 ...
0
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0answers
173 views

Rubric for good data analysis

As statistics education moves online, educators are facing new problems related to the administration of their courses. Jeff Leek and Roger Peng, for example, taught approximately 100,000 students ...
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1answer
398 views

How to deal with a fake scientist? [closed]

What makes you to believe that statistics is something is worth to think about. Isn't that a fake science? Do you think that statistics is a real science? Do you think statisticians should be paid?
7
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3answers
2k 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 ...
4
votes
3answers
263 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 ...
0
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0answers
129 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 ...
7
votes
1answer
261 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 ...
5
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6answers
8k 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 ...
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0answers
64 views

singularity of the Poisson counting process for non-statistician

I would like to explain to non-statisticians the singularity of the Poisson counting process over others (if possible, in a simple sentence). Simply translating in non-mathematical terms its formal ...