# Questions tagged [teaching]

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

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### What are the worst (commonly adopted) ideas/principles in statistics?

In my statistical teaching, I encounter some stubborn ideas/principles relating to statistics that have become popularised, yet seem to me to be misleading, or in some cases utterly without merit. I ...
63 views

### Pedagogical order of study for named distributions

I've seen myriads of named probability densities or distributions in multiple books and courses, usually both Binomial and Bernoulli are among the first discrete ones, while for continuous they use ...
38 views

### Reference for flawed randomized controlled trial

For a seminar, I am preparing an overview of advantages and shortcomings of randomized control trials (RCT; one shortcoming is, for example, often a limited external validity). To illustrate ...
26 views

### Web apps for visualization of probability distributions

I am looking for a tool to demonstrate how the shapes of some basic probability distributions (binomial, hypergeometric, Poisson, exponential and normal) change as a function of their parameters. I ...
129 views

### Intuition of terms P(θ) and P(y) in Bayes' Theorem [duplicate]

I am struggling with the intuition behind terms in the Bayes' Theorem. In the simple example of a deck of cards we have: $$P(King | Red) = \frac{P(Red | King)P(King)}{P(Red)}$$ The terms in this ...
90 views

### Spurious relationships: flavours, terminology

The following types of relationships come to my mind when I think of the term "spurious": A statistical relationship specific to a sample but not the population / the data generating process (DGP). ...
28 views

### How to calculate sample size for Likert Scale survey on student assessment?

I'm working on creating a survey where there'll be about 10-15 questions with 7-point likert scale. The survey is to be taken by reviewers who reviews the students' proficiency in taking images using ...
291 views

### Quick test of quality of an econometrics textbook

When encountering an econometrics textbook for the first time, you might wish to assess its quality. What is the first thing you check? Is there a certain topic or a definition you examine, knowing ...
7k views

### Famous statistical wins and horror stories for teaching purposes

I am designing a one year program in data analysis with a local community college. The program aims to prepare students to handle basic tasks in data analysis, visualization and summarization, ...
35 views

### (Teaching) references for computational complexity

Background: I am going to teach computational complexity (time complexity) within an introductory course in machine learning. I would like to gently introduce the notion of computational complexity ...
23 views

### Ways to make parametric statistics work with real time (often non-normal) data

BACKGROUND: I have been tasked with teaching basic data analysis methods with R to a group of people in a business setting. While my stance is that I am most difinitely not at the level where I ...
25 views

### Poisson process as a spatial process

Let's consider a Poisson process on the line with rate parameter $\lambda$. There are two ways to think about this: In any interval $[a,b)$ the expected number of events is distributed as a Poisson ...
40 views

### Reproducing a didactic example of Lindley (1993)

Lindley (1993) discusses the following mixed discrete and continuous prior for the tea tasting lady experiment, where $\pi$ is probability of a correct classification: $p(\pi=0.5) = 0.8$ (discrete ...
145 views

### chi squared goodness of fit test to check for normality

I have the following data: I would like to use the chi-squared goodness of fit test to test whether it comes from a normal distribution. How shall I go about it? In particular, I would like to know ...
224 views

### Teaching students about non-significant results and large effect size

This year I am going to teach statistics to sophomore year students of psychology. We'll be training such methods as one-way ANOVA. The example will be the time-reaction of a cognitive task among ...
97 views

### What does one expect from a great course of time series? [closed]

I usually teach finance (asset pricing and equilibrium models), quantitative economics (linear algebra and optimization), econometrics, computer science introduction to programming and machine ...
132 views

### “t-tests are too fundamental for academia” [closed]

I just heard a PhD student claim: The $t$-test is really fundamental and nobody in academy is gonna do it. He added that these tests serve more as a beginning exercise in order to get an idea of ...
86 views

### How do you calculate an exact two-tailed P-value using binomial distribution? [closed]

First, I will preface this question with my ulterior motive: I would like more evidence that the use of 19th and 20th century approximations play little to no pedagogic advantage in modern intro stats ...
37 views

### A book-chapter long nontechnical introduction / overview of neural networks

I will be teaching an introductory course in machine learning for students in management who have minimal quantitative skills. I am looking for a brief and gentle introduction to neural networks that ...
358 views

### Explain Root Mean Square Error to non-technical audience

My company is in the process of switching equipment from one vendor to another. We measured several metrics from the existing and new equipment and compared the time series. The ideal is to have no ...
69 views

### How do you explain 'explained variance'?

What is the best definition of 'explained variance' from a teaching perspective? I quite like this one: "Explained variance (also called explained variation) is used to measure the discrepancy ...
49 views

### Accounting Student taking Master in Stat, need your help regarding taking subjects

I had a Bachelor in Accounting and now I'm doing a Masters in Statistics. This is my first semester and I have to Choose at least 3 out of 6 offered subjects for this semester. These subjects Are: ...
600 views

### Are there any “esoteric” statistic tests with very low power?

Background In computer science, mathematics, and sometimes in other fields, “esoteric” examples cannot only be entertaining, but helpful to illustrate certain concepts, for example: Bogosort and ...
124 views

### How can we best explain causality for the uninitiated?

How can we best explain causality in layman's terms? There seem to be two main types of causality. One is probabilistic causation, the other is called determinism in philosophic circles or just ...
114 views

### Teaching a new, large topic: present in class or assign as homework first?

In spring 2019, I will be teaching a master's level course in applied statistics for students in economics and management. The main topics are linear regression, explanatory and confirmatory factor ...
36 views

### Master's-level Quantitative Methods / Statistics textbook for Management, Marketing, Economics students

What are some good textbooks for a master's (or upper undergraduate) level course in Quantitative methods / Statistics for students in Management, Marketing or Economics?
177 views

In teaching descriptive statistics, measures of central tendency come up early on, e.g. before measures of spread. For me it is natural enough to learn about central tendency, or location, of the data ...
19 views

### Parameter errors in linear least squares

I would like to help my (Chemistry) students understand the math behind linear regression.(1) The generally accepted approach for my discipline is to omit any use of calculus and introduce matrix ...
138 views

### Teaching (very elementary) statistical modelling

I've been asked to contribute some lectures (or parts of lectures) to a course on "Mathematical Modelling", from a statistical perspective. This is to a rather mixed group of Mathematics ...
53 views

### How would you explain the relative importance of exploratory correlations for multiple regression models?

I am asking this from a pedagogic perspective:  ¿How do others explain (to their students or clients) the need to examine correlations between subsets of variables in multiple regression (MR) ...
36 views

### Teaching models from a distribution-centric perspective

I often read blogs from professors of statistics talking about how they prefer to teach models from a "distribution-centric" perspective rather than otherwise. However, I've never really been able to ...
72 views

### Teaching question: Good textbook for basic online statistics course

I will teach an online course on Intro Stats at an Economics Department of a non-flagship public university in the US. I want to cover descriptive stats, basic probability (with common discrete and ...
85 views

### Teaching econometrics to a layman

I help a friend of mine to understand material in an econometrics course. This is also a good exercise for me since soon I will start as a TA. The challenge is that she does not have sufficient ...
112 views

### How Can I teach someone “sampling from a given distribution” is hard?

For many people I know, they do not think sampling from a given distribution is a hard problem in general. For example, many software provide functions do to sample from normal distribution or uniform ...
65 views

### What's wrong with this approach to computing power?

I've just been given an old set of lecture notes to look at. One of them contains the following question: if we are undertaking a paired $t$-test with a mean of differences $d=1$ and standard ...
98 views

### Is Bayes-Ball algorithm enough to argue that correlation can imply causality?

You always hear that correlation does not imply causation. But taking a Bayesian perspective, can one counterargue this statement? I was reading the paper linked below (Bayes-Ball argument), and it ...
6k views

### Simple real world examples for teaching Bayesian statistics?

I would like to find some "real world examples" for teaching Bayesian statistics. Bayesian statistics allows one to formally incorporate prior knowledge into an analysis. I would like to give ...
644 views

### When (incorrectly) explaining p-values, is the word “chance” inherently the problem?

So I understand that saying that a p-value is the probability of a particular result coming about by chance is incorrect as per community consensus, the American Statistical Association, etc. My ...
26 views

### Order in which to teach confidence intervals

It seems much more logical to me to teach confidence intervals for large samples first, when the CLT (just taught) implies that that the sample means are normally distributed, no matter the ...
48 views

### What is the best syllabus for an under-grad class in Statistics for engineer students?

I teach statistics to under-grad engineer students who major in Information Technology (IT). My students first learn a (prerequisite) course on probability where they learn combinatorics, different ...
3k views

### Is linear regression obsolete? [closed]

I am currently in a linear regression class, but I can't shake the feeling that what I am learning is no longer relevant in either modern statistics or machine learning. Why is so much time spent on ...
417 views

### Generate simulated data with predefined partial correlation structure

I teach statistics (undergraduate level). It's an introduction course to statistics and very basic. Something that I find very time-consuming is to create training data for the students. I use the ...
1k views

### An intuitive explanation why the Benjamini-Hochberg FDR procedure works?

Is there a simple way of explaining why does Benjamini and Hochberg's (1995) procedure actually control the false discovery rate (FDR)? This procedure is so elegant and compact and yet the proof of ...
3k views

### Which of the following statistics courses are the most applicable and useful in finance/tech industry? [closed]

I'm in the process of selecting 3 statistics classes to take for my Applied Math course cluster (doing my concentration in actuarial science or statistical analysis). Which 3 classes out of the ...
707 views

### Demonstrating Overfitting in a Simple Model

I have been working with a finance team to help forecast revenue for some product data. Particularly when the series are short and difficult to forecast, their first response is to add a bunch of "...
3k views

### Should I teach Bayesian or frequentist statistics first?

I am helping my boys, currently in high school, understanding statistics, and I am considering beginning with some simple examples without disregarding some glimpses to theory. My goal would be to ...
917 views

### Famous historical example(s) of Type II error

It's very easy to find famous examples of Type I errors in the histories of various fields. However, I'm struggling to find even one clear example of a Type II error. For my purposes, I'm ...
278 views

### How can I create a Gaussian process?

I'm writing a short summary of GPR for my coworkers. I want to give them an intuition into what a Gaussian process is without mentioning distributions over functions. Can you suggest how I can ...