Questions tagged [teaching]

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

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15 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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0answers
97 views

one way and two ways anova

anova can be used to test the influence of a factor on an output. One way anova is used if we are considering only one factor and two ways anova can be used if we are considering two factors. ...
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0answers
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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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1answer
44 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 ...
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1answer
72 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 ...
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3answers
1k views

Come up with a simple experiment for linear regression

For my linear regression class we need to come up with some kind of simple experiment (we must collect the data, can't get it online) for which we can use the methods we have studied in class (simple ...
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3answers
143 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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1answer
88 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 ...
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7answers
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 ...
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29answers
338k views

Examples for teaching: Correlation does not mean causation

There is an old saying: "Correlation does not mean causation". When I teach, I tend to use the following standard examples to illustrate this point: number of storks and birth rate in Denmark; number ...
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1answer
310 views

Help explaining (offering intuition/examples of) the score function and fisher's information to students

Next week I will teach my students the score function and its variance (i.e.: fisher information). I am looking for way(s) to illustrate these concepts so to help my students understand them (and not ...
136
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15answers
114k views

Intuitive explanation for dividing by $n-1$ when calculating standard deviation?

I was asked today in class why you divide the sum of square error by $n-1$ instead of with $n$, when calculating the standard deviation. I said I am not going to answer it in class (since I didn't ...
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1answer
118 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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2answers
102 views

Defining the normal distribution

I am preparing some materials for an introduction to sample size calculation for life sciences graduate students with no or very limited previous statistical experience. Right at the start I will be ...
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1answer
69 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 ...
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2answers
162 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 ...
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2answers
245 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 ...
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1answer
266 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 ...
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2answers
538 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 ...
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2answers
113 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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1answer
66 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 ...
11
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4answers
2k views

Good text on Clinical Trials?

I'm an undergraduate statistics student looking for a good treatment of clinical trials analysis. The text should cover the fundamentals of experimental design, blocking, power analysis, latin squares ...
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0answers
38 views

Ideas for research projects: Causality, DAGs etc [closed]

I am looking for ideas for research projects to give my students in a module on causality and DAGs (third-year undergraduate and master level). I had a couple of ideas. For example, one could, for ...
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1answer
121 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 ...
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11answers
166k views

How would you explain Markov Chain Monte Carlo (MCMC) to a layperson?

Maybe the concept, why it's used, and an example.
119
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27answers
36k views

Free statistical textbooks

Are there any free statistical textbooks available?
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0answers
27 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 ...
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2answers
77 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 ...
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1answer
47 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: ...
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21answers
78k views

What's the difference between probability and statistics?

What's the difference between probability and statistics, and why are they studied together?
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3answers
103 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 ...
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3answers
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 ...
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1answer
796 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 ...
2
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0answers
31 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?
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2answers
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/...
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6answers
2k views

Short online videos that could assist a lecture on statistics

When lecturing statistics, it can be useful to incorporate the occasional short video. My first thoughts included: Animations and visualisations of statistical concepts Stories regarding the ...
15
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3answers
10k views

How to best display graphically type II (beta) error, power and sample size?

I'm asked to write an introduction to statistics and I'm struggling how to graphically show the way p-value and power relate. I've come up with this graph: My question: Is there a better way of ...
3
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1answer
328 views

Understanding normal probability plots

I am a teacher that will be teaching about Normal Probability Plots. This topic is new to me and I would be grateful for any help. Essentially the specification for the course expects students to ...
3
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0answers
99 views

Instructive figure to explain Maximum Likelihood confidence bands / standard errors

I am trying to better understand and explain maximum likelihood estimation. To explain the intuition of many ML aspects I find it easiest to explain them graphically, like for example the ML-based ...
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1answer
137 views

Why start with measures of central tendency?

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 ...
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1answer
16 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 ...
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8answers
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 ...
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12answers
124k 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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1answer
526 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 ...
15
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11answers
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 ...
8
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4answers
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 ...
15
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8answers
33k 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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1answer
46 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) ...
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1answer
61 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 ...
2
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0answers
34 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 ...