Questions tagged [teaching]

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

31 questions with no upvoted or accepted answers
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136 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 ...
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0answers
130 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 ...
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32 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 ...
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113 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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114 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 ...
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258 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 ...
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0answers
36 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 ...
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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?
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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 ...
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27 views

A verifiable and teachable Gibbs example

I am attempting to construct a teachable example of Gibbs sampling that I can also relate to how it might be used on an actual dataset and yet could also be verified analytically by students with ...
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44 views

Pedagogical example of feature selection for model building

I am looking for a good pedagogical example use of feature selection for model building. The purpose is to expose students to some very basic methods for feature selection, in the context of boolean ...
2
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1answer
67 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 outcome,...
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108 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 ...
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35 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 ...
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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 ...
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27 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 ...
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64 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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1answer
18 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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1answer
67 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 ...
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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 ...
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683 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 "...
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161 views

Prevalence of the “vote counting” method in literature reviews

In my youth I can remember reading some papers (in psychology most likely) which as part of their literature review included a table of past results with no details provided other than whether the p-...
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1answer
99 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 ...
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217 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 ...
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253 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 ...
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1answer
25 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 ...
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19 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 ...
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22 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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1answer
68 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, ...
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99 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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294 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 ...