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Understanding “table margins”
The Next CEO of Stack OverflowPerforming 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”
$begingroup$
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
$endgroup$
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
$endgroup$
$begingroup$
Please add the[self-study]
tag & read its wiki.
$endgroup$
– gung♦
11 hours ago
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
$endgroup$
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
r hypothesis-testing fishers-exact
edited 11 hours ago
gung♦
109k34264532
109k34264532
asked 12 hours ago
blue-skyblue-sky
198214
198214
$begingroup$
Please add the[self-study]
tag & read its wiki.
$endgroup$
– gung♦
11 hours ago
add a comment |
$begingroup$
Please add the[self-study]
tag & read its wiki.
$endgroup$
– gung♦
11 hours ago
$begingroup$
Please add the
[self-study]
tag & read its wiki.$endgroup$
– gung♦
11 hours ago
$begingroup$
Please add the
[self-study]
tag & read its wiki.$endgroup$
– gung♦
11 hours ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
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.
$endgroup$
$begingroup$
+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♦
11 hours ago
add a comment |
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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.
$endgroup$
$begingroup$
+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♦
11 hours ago
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.
$endgroup$
$begingroup$
+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♦
11 hours ago
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.
$endgroup$
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.
answered 12 hours ago
klumbardklumbard
786512
786512
$begingroup$
+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♦
11 hours ago
add a comment |
$begingroup$
+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♦
11 hours ago
$begingroup$
+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♦
11 hours ago
$begingroup$
+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♦
11 hours ago
add a comment |
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