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Questions tagged [statistics]

For questions about the practice or science of collecting and analysing numerical data in large quantities, for instance for the purpose of inferring proportions in a whole from those in a representative sample.

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76 votes
20 answers
19k views

Impressive common misleading interpretations in statistics to make students aware of

Statistics are used everywhere; politicians, companies, etc. argue with the help of statistics. Since calculations are needed for the interpretation of statistics, such things should be taught in ...
2 votes
2 answers
197 views

Are these explanations of variance and covariance intuitive?

When tutoring, I try to simplify concepts. I came up with these examples to explain the intention behind variance and covariance. Could you please help me find conceptual, pedagogical or mathematical ...
0 votes
1 answer
61 views

What are "must read"/classical refences on data aggregation/disaggregation in statistics?

I am looking for "must read"/classical references on data aggregation/disaggregation in statistics, particularly, what they are exactly, why they are done and how statistical measures (media,...
1 vote
0 answers
102 views

simpson paradox in classroom: reports?

he Simpson's Paradox is a statistical phenomenon in which a trend or relationship observed within a dataset disappears or reverses when the dataset is divided into smaller groups. It occurs when a ...
8 votes
7 answers
555 views

Hypothesis Tests in Students' Lives

Consider, in a basic statistics class, the difference between the following two examples: A six-sided die is rolled twenty times. It comes up a "two" eight times, which seems unfair. The owner of ...
-3 votes
2 answers
152 views

Best natural language(s) for conveying, conceptualizing, teaching, understanding, and learning Probabilistic & Statistical concepts & theory?

English can be precise but it is rather 'flowery' and easily gets in its' own way. East-Asian natural languages like Mandarin, Cantonese, Korean, and Japanese are notorious for permitting the ...
9 votes
6 answers
1k views

Statistics, for the mathematically rigorous

I don't know where I can find a rigorous statistics course or textbook. The closest thing I can think of is measure-theoretic probability theory, but I wouldn't really call that "statistics"....
5 votes
2 answers
292 views

Where can I find a collection of bad/misleading data visualizations?

Are there any collections or blogs of bad data visualizations? I know I've seen such misleading graphics in the news or in print, made misleading either maliciously or thoughtlessly, but I usually see ...
5 votes
0 answers
124 views

After building the probability space, how to motivate for random variables? [closed]

Having put my audience through developing a probability space $(\Omega, \mathcal{F}, P)$, where $\Omega$ is the sample space of a random trial, $\mathcal{F}$ is a $\sigma$-field on it, and P is a ...
3 votes
0 answers
102 views

Where can I find examples of statistics projects? [duplicate]

I am going to teach an undergraduate statistics course for the first time next semester. I would like students to do a project by applying some of the things they learned to real-world data. Is there ...
-4 votes
1 answer
166 views

Is it weird for an undergrad or grad quant/applied maths(/even pure maths) programme to not teach that probabilities of 0 or 1 will never change? [closed]

Edit: i didn't mean it like this programme should do this or that. i mean other people are accusing me like 'your programme should've had this or that' (actually they're saying that i should know this ...
13 votes
3 answers
3k views

How do I sketch a good gaussian curve freehanded, or by using only common sketching tools?

I'm a lousy artist. If I want my Gaussian curves to be accurately drawn when I use a whiteboard, or work with pen & paper, what are my options? Is there a way to use a straight edge, or compass, ...
3 votes
1 answer
752 views

Why is my 8th grade Algebra 1 tutoring student learning mean absolute deviation and standard deviation?

I’m tutoring an 8th grade student in Algebra 1, and he showed me that their class learned how to find standard deviation and mean absolute deviation using the following formulas: $SD=\sqrt{\...
1 vote
1 answer
539 views

Best books for mathematical statistics self-study?

I'm hoping to start a masters in mathematics in the fall, and am hoping to find a good book on mathematical statistics to study so that I'll be able to take graduate level mathematical statistics once ...
2 votes
0 answers
74 views

Where can I find the solutions manual to Beginning Statistics with Data Analysis by Mosteller, Fienberg and Rourke?

I am planning to teach a course on Statistics using Beginning Statistics with Data Analysis by Mosteller, Fienberg and Rourke. On page xii of the book, the authors said "A solutions manual is ...
3 votes
1 answer
197 views

To what degree can the legally blind, with computer induced medical problems, study statistics?

My son graduates from secondary school in 2022. But he shall attend university in Australia or UK — where you must apply for ONE major — not liberal arts in the USA. He wants to pick BSc Math with ...
1 vote
1 answer
290 views

The Basic Practice of Statistics vs. Introduction to the Practice of Statistics

How does David S. Moore; William I. Notz; Michael Fligner's 2021 9 edn. The Basic Practice of Statistics differ from David S. Moore; George P. McCabe; Bruce Craig's 2021 10 edn Introduction to the ...
2 votes
1 answer
96 views

Looking for good examples/explanations of maximum likelihood estimators for discrete random variables

The title basically says it all. I need to prepare material for a whole classroom of elementary statistics students, so if anyone wants to help me out in the name of math education, that'd be great!
1 vote
2 answers
130 views

How can I effectively learn and master Math and Statistics for Data Science?

I completed a BSc in Computer Science recently and am going on to do an MSc in Data Science. However, the only focussed math module I had during CS was in the first year and I didn't do too well. I ...
4 votes
1 answer
358 views

Is there a 'statistics theory' course plan for practitioners?

My job is starting to have me delve into categories that require things like regression analyses on data sets, essentially I'm being introduced to "Data Science" type material. Coming from a ...
8 votes
4 answers
508 views

Statistics Class Held in a Computer Lab

I'm looking into holding my basic statistics class in a computer lab in the future to avoid a lot of the by-hand computing that happens in statistics classes. For example, very few students get ...
3 votes
2 answers
254 views

How to make an introductory course on Statistics interesting

I am going to teach this probability and statistics course in a couple of weeks. The probability part can be made very interesting, in my opinion, easily. But I am a little worried that I might make ...
3 votes
1 answer
74 views

simple statistics (binomial) terminology

Say I have the problem: I roll a die three times and I am interested in the probability of ending up with two 1's. My impression is that a single roll is called a trial. What is the full 3-roll action ...
3 votes
4 answers
518 views

Best resources for probability/statistics textbooks

I'm looking for a good textbook introduction to probability/statistics that a first/second year undergrad math student could use! I'd like a book that emphasizes theory over procedure. I'd prefer an ...
4 votes
1 answer
154 views

Is there any university program that offers an introductory statistical methods class that is bayesian -instead- of a frequentist one?

Is there any university program that offers an introductory statistical methods class that is bayesian -instead- of a frequentist one? Surely every intro to stats class in every program in the world, ...
20 votes
8 answers
4k views

What is the point of teaching variance?

I am a teaching assistant for a sophomore engineering laboratory. We use standard deviation a lot during the semester. It is an incredibly useful concept that can be used in a lot of engineering ...
3 votes
1 answer
174 views

Is SQL relevant to statisticians' work?

I hope this is the right place for posting this, but if not, please let me know! I recently took a second class in Python programming which, toward the end, also taught a little bit of SQL. As it ...
12 votes
8 answers
2k views

Are these assumptions in statistics correct or beneficial?

(I hope the question in in scope, please see my question on Meta about that) My 15 yo son (2nde in France, this is the first year of the equivalent of a High School) is going through basic statistics....
3 votes
1 answer
176 views

Fun, impressive, or compelling examples of scaling of the standard deviation like $1/\sqrt{n}$?

I'm teaching a class where statistics is not the main topic, but I would like to introduce the idea that if you take $n$ measurements of a variable that are independent, identically distributed, and ...
8 votes
0 answers
143 views

Good Source for German Tank Problem

I would like to teach the German Tank Problem to bright students with little prerequisites. They are 16 year old high school students with a lot of maths competition experience, but no prior knowledge ...
5 votes
1 answer
229 views

How to explain even higher moments

In prob/stats, students mostly get the idea of mean/expected value, and variance/s.d. slowly sinks in. Even the third and fourth moments (about the mean) have "standard" interpretations - skewness ...
11 votes
4 answers
5k views

Favorite datasets to use when teaching statistics

There are so many datasets available that it seems difficult to sort through them all and identify the best ones to use when teaching an introduction to statistics class. What are your favorite ...
11 votes
8 answers
6k views

How to explain that the sums of numerators over sums of denominators isn't the same as the mean of ratios?

I am a teaching assistant for an intro programming course. One assignment asked for the averages of a certain ratio, but most students, rather than returning $$\frac{\text{sum of all ratios}}{\text{...
3 votes
1 answer
134 views

Entry Test for Statistical/Data Science class

If there is a Data Science class (for final year high school students, not necessarily from the same school) with the following syllabus: Python programming (first 3 meetings) Data cleaning and ...
7 votes
2 answers
190 views

Published papers for Intro Stat students to read

I am looking for studies and experiments in the literature that I can share with undergraduate students in an intro statistics course. I do not expect students to understand everything, and I plan to ...
3 votes
1 answer
74 views

Practical Implication for Correlation (Lay individual vs Scholarly Group)

Can you please explain or provide resources that explain this issue (esp. to a lay audience): How to understand the significance of a co-relation number that studies (esp. meta-analyses) produce. The ...
8 votes
3 answers
3k views

Self-study Linear Algebra textbook for Machine Learning and Statistics

I am looking for a good linear/matrix algebra textbook, suitable for self-study, that covers topics relevant to statistics and machine learning. I have access to ...
4 votes
1 answer
194 views

What is a realistic situation that illustrates precisely what a p-value is?

Students in the basic statistics courses I teach often learn a little bit of probability and then learn hypothesis testing. The core concept that ties the course together is the p-value, but most ...
5 votes
2 answers
198 views

What are some suggestions fo teaching statistics concepts to struggling college students?

I'm a private math tutor. I'm fairly new at this, and this semester is the first time I've been tutoring for a statistics class at a community college. I enjoy experimenting and learning about ways to ...
6 votes
3 answers
317 views

What to include in an "elevator pitch" for an undergraduate statistics class

I'm going to be giving a five minute "elevator pitch" presentation to undergraduate math majors in order to advertise an introduction to statistics class that I'll be teaching in the spring. It's an ...
5 votes
2 answers
367 views

Trends in math education: Majors? Applied math? Statistics?

I would be quite interested in learning of trends (in the U.S. or internationally) of student interest at the undergraduate level in pure math vs. applied math, say, measured by majors at graduation. ...
12 votes
4 answers
374 views

Teaching new stats students confidence intervals, hypothesis testing, and other general techniques for inference

I have instructed for community colleges and adjuncted for major universities for just over fifteen years now. In all my time doing this job, I've found that the worst manifestation of so-called "...
8 votes
5 answers
551 views

Why teach absolute mean deviation?

I was helping my niece (7th grade) with homework and one of the topics was the absolute mean deviation. It's basically the same thing as standard deviation except instead of squaring the difference ...
20 votes
14 answers
4k views

Probability Misconception: Two Bags with Black and White Marbles

I asked this question in a class of 13-year-old students: Bag 1 contains 2 black marbles and 1 white one. Bag 2 contains 20 black marbles and 10 white ones. Which bag is more likely to yield a black ...
16 votes
7 answers
1k views

Where can I find realistic data for college-level elementary statistics problems?

I'm creating a large number of practice problems for my statistics students. These problems are for an elementary stats course where students: measure central tendency measure dispersion use linear ...
4 votes
1 answer
241 views

What are some very concrete examples of statistical models to present to students?

In order to teach students what "statistical modeling" is, it would be helpful to show them some very concrete, specific (and maybe classic) examples of statistical models. Something you can point to ...
12 votes
5 answers
962 views

Moving from discrete probability distributions to continuous ones

I'm teaching an introductory statistics class at a community college, and we've just finished a unit on discrete probability. At the moment, the students' conception of the probability of an event A ...
2 votes
1 answer
167 views

Why aren't Bayesian Networks and Variable Elimination introduced earlier?

Throughout my undergrad, I dreaded probability. I hated it, I was horrible in it, I just never got it, and felt stupid when the professors used "summation/marginalization" equations out of the blue to ...
6 votes
4 answers
391 views

Why do we teach estimation in Statistics and Mathematics?

Please forgive me if this is naive. I am only an aspiring educator after all. Why do we still teach estimation when there are easily accessible/teachable exact techniques? Why do statisticians teach $...
7 votes
3 answers
372 views

Standardized Exam for Statistics?

I have been trying to find a standardized exam for statistics, but have not had any luck. For example, there is an AP statistics exam for high schoolers to take, but I am looking for something that ...