Dgdrxrt

In Bayesian inference, why are some terms dropped from the posterior predictive?

Notepad++ delete until colon for every line with replace all

Finding the reason behind the value of the integral.

How do I exit BASH while loop using modulus operator?

Why were 5.25" floppy drives cheaper than 8"?

Standard deduction V. mortgage interest deduction - is it basically only for the rich?

What are the G forces leaving Earth orbit?

Can a virus destroy the BIOS of a modern computer?

How to show a landlord what we have in savings?

What historical events would have to change in order to make 19th century "steampunk" technology possible?

Can compressed videos be decoded back to their uncompresed original format?

What is the most common color to indicate the input-field is disabled?

Am I breaking OOP practice with this architecture?

When handwriting 黄 (huáng; yellow) is it incorrect to have a disconnected 草 (cǎo; grass) radical on top?

OP Amp not amplifying audio signal

Can someone clarify Hamming's notion of important problems in relation to modern academia?

Could neural networks be considered metaheuristics?

Getting extremely large arrows with tikzcd

What is an equivalently powerful replacement spell for Yuan-Ti's Suggestion spell?

Rotate ASCII Art by 45 Degrees

Does int main() need a declaration on C++?

Pact of Blade Warlock with Dancing Blade

Did 'Cinema Songs' exist during Hiranyakshipu's time?

Blending or harmonizing

Understanding “table margins”

Performing a two tailed test given a contingency tablefisher's test vs pairwise fisher's testDirection of relationship in 2x2 contingency tablesWhy do odds ratios from formula and R's fisher.test differ? Which one should one choose?Validity of a statistical procedure to calculate an odds ratio for a Fisher's exact test?Exact test for m x n contingency table conditional (i.e. fixed by design) on one marginHow to calculate significance for pairwise Fst (fixation index)?How can p=1 in Fisher's exact test?What is the difference using a Fisher's Exact Test vs. a Logistic Regression for $2 times 2$ tables?Fishers exact test meaning of “greater” and “less”

2

$begingroup$

I'm working on a statistics quiz and asked the following:

What tables (with the same margins) would constitute stronger evidence of a gender bias effect in the calculation of the p-value using Fisher's exact test?

Using R I've calculated Fishers exact test with following results:

fisher.test(table, alternative="greater")

# Fisher's Exact Test for Count Data
# 
# data: table
# p-value = 0.2596
# alternative hypothesis: true odds ratio is greater than 1
# 95 percent confidence interval:
# 0.4173146 Inf
# sample estimates:
# odds ratio 
# 2.838407

I'm unsure how to answer the question. What does "same margins" mean in this context? The closest I've found is this comment in relation to "margin totals" from Wikipedia's article on Fisher's exact test:

In this sense, the test is exact only for the conditional distribution and not the original table where the margin totals may change from experiment to experiment.

r hypothesis-testing fishers-exact

share|cite|improve this question

edited Mar 28 at 14:30

gung♦

109k34266533

asked Mar 28 at 13:42

blue-skyblue-sky

198214

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Please add the [self-study] tag & read its wiki.
  $endgroup$
  – gung♦
  Mar 28 at 14:31
  

  
  
  
  

add a comment | 

2

$begingroup$

I'm working on a statistics quiz and asked the following:

What tables (with the same margins) would constitute stronger evidence of a gender bias effect in the calculation of the p-value using Fisher's exact test?

Using R I've calculated Fishers exact test with following results:

fisher.test(table, alternative="greater")

# Fisher's Exact Test for Count Data
# 
# data: table
# p-value = 0.2596
# alternative hypothesis: true odds ratio is greater than 1
# 95 percent confidence interval:
# 0.4173146 Inf
# sample estimates:
# odds ratio 
# 2.838407

I'm unsure how to answer the question. What does "same margins" mean in this context? The closest I've found is this comment in relation to "margin totals" from Wikipedia's article on Fisher's exact test:

In this sense, the test is exact only for the conditional distribution and not the original table where the margin totals may change from experiment to experiment.

r hypothesis-testing fishers-exact

share|cite|improve this question

edited Mar 28 at 14:30

gung♦

109k34266533

asked Mar 28 at 13:42

blue-skyblue-sky

198214

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Please add the [self-study] tag & read its wiki.
  $endgroup$
  – gung♦
  Mar 28 at 14:31
  

  
  
  
  

add a comment | 

$begingroup$

I'm working on a statistics quiz and asked the following:

What tables (with the same margins) would constitute stronger evidence of a gender bias effect in the calculation of the p-value using Fisher's exact test?

Using R I've calculated Fishers exact test with following results:

fisher.test(table, alternative="greater")

# Fisher's Exact Test for Count Data
# 
# data: table
# p-value = 0.2596
# alternative hypothesis: true odds ratio is greater than 1
# 95 percent confidence interval:
# 0.4173146 Inf
# sample estimates:
# odds ratio 
# 2.838407

I'm unsure how to answer the question. What does "same margins" mean in this context? The closest I've found is this comment in relation to "margin totals" from Wikipedia's article on Fisher's exact test:

In this sense, the test is exact only for the conditional distribution and not the original table where the margin totals may change from experiment to experiment.

r hypothesis-testing fishers-exact

share|cite|improve this question

edited Mar 28 at 14:30

gung♦

109k34266533

asked Mar 28 at 13:42

blue-skyblue-sky

198214

$endgroup$

fisher.test(table, alternative="greater")

# Fisher's Exact Test for Count Data
# 
# data: table
# p-value = 0.2596
# alternative hypothesis: true odds ratio is greater than 1
# 95 percent confidence interval:
# 0.4173146 Inf
# sample estimates:
# odds ratio 
# 2.838407

share|cite|improve this question

edited Mar 28 at 14:30

gung♦

109k34266533

asked Mar 28 at 13:42

blue-skyblue-sky

198214

share|cite|improve this question

edited Mar 28 at 14:30

gung♦

109k34266533

asked Mar 28 at 13:42

blue-skyblue-sky

198214

edited Mar 28 at 14:30

gung♦

109k34266533

edited Mar 28 at 14:30

gung♦

109k34266533

asked Mar 28 at 13:42

blue-skyblue-sky

198214

asked Mar 28 at 13:42

blue-skyblue-sky

198214

1 Answer
1

active

oldest

votes

4

$begingroup$

The "margins" means the numbers along the right side and bottom of the table that indicate the sum of the elements in that row or column. You're being asked: "what kind of tables would indicate stronger evidence of gender bias given the restriction that there must be: 8 people promoted, 12 people not promoted, 12 males, and 8 females?"

For example, if the table looked like:

 Promoted Not
Male 8 4
Female 0 8

We can see clear evidence of gender bias in who gets promoted or not. So you're being asked to characterize all such tables that look "worse" in terms of gender bias.

share|cite|improve this answer

answered Mar 28 at 13:54

klumbardklumbard

801512

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  +1, but please be cautious about providing complete answers to homework type questions, our policy is to engage & give hints (see the [self-study] tag's wiki).
  $endgroup$
  – gung♦
  Mar 28 at 14:32
  

  
  
  
  

add a comment | 

Your Answer

StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");

StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "65"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f399913%2funderstanding-table-margins%23new-answer', 'question_page');

);

Post as a guest

Name

Email

Required, but never shown

4

$begingroup$

The "margins" means the numbers along the right side and bottom of the table that indicate the sum of the elements in that row or column. You're being asked: "what kind of tables would indicate stronger evidence of gender bias given the restriction that there must be: 8 people promoted, 12 people not promoted, 12 males, and 8 females?"

For example, if the table looked like:

 Promoted Not
Male 8 4
Female 0 8

We can see clear evidence of gender bias in who gets promoted or not. So you're being asked to characterize all such tables that look "worse" in terms of gender bias.

share|cite|improve this answer

answered Mar 28 at 13:54

klumbardklumbard

801512

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  +1, but please be cautious about providing complete answers to homework type questions, our policy is to engage & give hints (see the [self-study] tag's wiki).
  $endgroup$
  – gung♦
  Mar 28 at 14:32
  

  
  
  
  

add a comment | 

4

$begingroup$

The "margins" means the numbers along the right side and bottom of the table that indicate the sum of the elements in that row or column. You're being asked: "what kind of tables would indicate stronger evidence of gender bias given the restriction that there must be: 8 people promoted, 12 people not promoted, 12 males, and 8 females?"

For example, if the table looked like:

 Promoted Not
Male 8 4
Female 0 8

We can see clear evidence of gender bias in who gets promoted or not. So you're being asked to characterize all such tables that look "worse" in terms of gender bias.

share|cite|improve this answer

answered Mar 28 at 13:54

klumbardklumbard

801512

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  +1, but please be cautious about providing complete answers to homework type questions, our policy is to engage & give hints (see the [self-study] tag's wiki).
  $endgroup$
  – gung♦
  Mar 28 at 14:32
  

  
  
  
  

add a comment | 

$begingroup$

The "margins" means the numbers along the right side and bottom of the table that indicate the sum of the elements in that row or column. You're being asked: "what kind of tables would indicate stronger evidence of gender bias given the restriction that there must be: 8 people promoted, 12 people not promoted, 12 males, and 8 females?"

For example, if the table looked like:

 Promoted Not
Male 8 4
Female 0 8

We can see clear evidence of gender bias in who gets promoted or not. So you're being asked to characterize all such tables that look "worse" in terms of gender bias.

share|cite|improve this answer

answered Mar 28 at 13:54

klumbardklumbard

801512

$endgroup$

 Promoted Not
Male 8 4
Female 0 8

share|cite|improve this answer

answered Mar 28 at 13:54

klumbardklumbard

801512

answered Mar 28 at 13:54

klumbardklumbard

801512

answered Mar 28 at 13:54

klumbardklumbard

801512