# Questions tagged [teaching]

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

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### Biasness of an estimator depends on whether you take expectation of the estimator or its inverse

(Please read until the end) know Consider two ways of writing the exponential distribution- (A) $\frac{1}{\beta} e^{-\frac{x}{\beta}}$ and (B) $\theta e^{-x\theta}$ If I estimate $\beta$ or $\theta$...
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### What kind of training in statistics should an undergraduate in ecology be subjected to? [closed]

How many 1 semester courses on statistics do you feel would be a bare minimum for a biologist? What are the topics that you think should be fundamental to be covered when providing a 1 semester module?...
1 vote
50 views

### Is the non-multicollinearity assumption for OLS multiple regression just an assumption of convenience?

The four assumptions for bivariate regression are:     • (L)inearity     • (I)ndepdent observations     • (N)ormal errors     • (E)qual variance And for multiple regression we add a fifth assumption:  ...
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1 vote
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### When do we REALLY need to distinguish interval from ratio measurement levels?

This question is specifically aimed toward the practice of statistics and data science and toward statistics educators (particularly introductory level statistics). In brief, ¿when do we really need ...
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1 vote
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### Suggestions for an online course in graduate Statistical Inference?

I am looking for an online course (MIT OpenCourseWare style) in graduate-advanced statistical inference. I am now reading Casella and Berger (2008) "Statistical Inference", and I was ...
2k views

### How to learn statistics for medical research?

I'm a last year medical student, as we say "Intern doctor". In the future I want to do research on the issue that I want to get in. Therefore I want to learn mathematics, statistics, R ...
1 vote
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### Normally distributed: examples like LTCM

I am looking for examples of organizations suffering dire consequences (losing money) because they have assumed that something was normally distributed hence underestimating the risk of tail events. ...
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### Non-self-referential interpretation of confidence intervals?

Interpreting what a (say) 95% confidence interval actually means is obviously tricky, especially when you are trying to teach it to students just beginning to learn stats. One of the biggest ...
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### Resources or textbooks about teaching statistics (pedagogy)

I want to become a better teacher and, therefore, I am looking for resources or textbooks about how to teach statistics and quantitative methods to students or learners (focusing on hints on how to ...
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### Explain in layperson's terms why predictive models aren't causally interpretable

Imagine that you are asked to infer some causal effect -- a change in an outcome $y$ in response to some variable $x$. But, the person asking for this directs you to use a predictive model to do so. ...
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1 vote
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### Central Limit Theorem - intuitive explanation without deep math [duplicate]

The Central Limit Theorem says that the distribution of the sample mean is approximately normal. Is there any intuitive explanation for why this should be so? I know it can be proven with deep math, ...
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1 vote
123 views

### In Bayes Theorem why do we say :given that" when "out of" is more understandable. (Why is Conditional on referred to as "Given") [closed]

I understood the answer to my problem here when I substituted the "given that" symbol with the phrase "out of" I got this idea from 3Blue1Brown where Grant points out that people ...
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### What are some references to teach statistics to business students?

I am going to teach a Statistics course next year and I should cover the basics of probabilities and statistics to undergrad students in business. They don't have any background in probability, so, at ...
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### Spurious relationships: flavours, terminology

The following types of relationships come to my mind when I think of the term "spurious" (as in "spurious regression" or "spurious correlation"): A statistical ...
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### 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 ...
8k 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, ...
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### (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 ...
1 vote
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 ...
58 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 ...
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### 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 ...
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### 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 ...
755 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 ...
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### 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 ...
1 vote
143 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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1 vote
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### 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 ...
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### 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: ...
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### 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 ...
154 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 ...
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### 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 ...