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

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3
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1answer
49 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 ...
0
votes
0answers
12 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
vote
1answer
30 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
votes
0answers
36 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
votes
0answers
20 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
vote
1answer
32 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
57 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
votes
2answers
118 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
26 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
votes
6answers
294 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
votes
0answers
61 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
votes
1answer
108 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
votes
0answers
36 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
votes
5answers
332 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
votes
1answer
26 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 ...
36
votes
4answers
3k 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 ...
0
votes
0answers
58 views

Innovative ways to learn statistics

My approach for learning statistics so far has been reading books, messing about in R, taking online courses, watching YouTube videos etc. However, one of my xmas pressies was a coffee mug with a ...
5
votes
4answers
90 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
vote
0answers
63 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 ...
1
vote
0answers
44 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 ...
7
votes
2answers
895 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 ...
0
votes
0answers
16 views

Introducing binomial distribution as a sampling distribution over Bernoulli distribution

In many introductory applied statistics text books and curricula, study of basic probability distributions begin with binomial distribution. I think it would be pedagogically beneficial to introduce ...
2
votes
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
votes
0answers
27 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
votes
0answers
106 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 ...
3
votes
0answers
123 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 ...
13
votes
8answers
19k 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 ...
1
vote
0answers
105 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
690 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
195 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 ...
5
votes
2answers
272 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
5k 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
votes
2answers
67 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
161 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 ...
8
votes
3answers
318 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
votes
1answer
87 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
votes
0answers
154 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 ...
-21
votes
1answer
330 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?
5
votes
3answers
1k 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
218 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
votes
0answers
121 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
214 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 ...
6
votes
6answers
5k 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 ...
0
votes
0answers
63 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 ...
4
votes
1answer
180 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 ...
8
votes
2answers
325 views

Sources for learning (not just implementing) statistics/math through R

I am interested in examples of sources (R code, R packages, books, book chapters, articles, links etc) for learning statistical and mathematical concepts through R (it could also be through other ...
11
votes
10answers
1k 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 ...
23
votes
5answers
2k views

Strategies for teaching the sampling distribution

The tl;dr version What successful strategies do you employ to teach the sampling distribution (of a sample mean, for example) at an introductory undergraduate level? The background In September I'll ...
12
votes
1answer
1k views

Funny statistics exam answers [closed]

Correcting exams is probably the most boring task of a teacher. But it might be amusing for us to collect funny statistics exam answers. One entry per answer.
32
votes
4answers
2k views

Good games for learning statistical thinking?

Are there any games that get the player "think like a statistician"? For example, lightbot gets you to "think like a programmer" (in a very basic way). Are there any games - designed for ...