What is the interpretation of the p-value of 2.2e-16? [duplicate]
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This question already has an answer here:
How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
4 answers
I am a beginner in using Wilcoxon test to get the p-value. After applying the test to my data, I got the p-value < 2.2e-16. Does that mean that the samples I have are significantly different from each other? I am suspicious of such a result. I have looked at other related questions (such as this question) but I didn't really understand what this value means.
Can someone please explain?
r p-value wilcoxon-mann-whitney
edited yesterday
Nick Cox
39.4k588132
asked yesterday
Adam AminAdam Amin
1263
$endgroup$
marked as duplicate by amoeba, Michael Chernick, mkt, Frans Rodenburg, Jarle Tufto 18 hours ago
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
add a comment |
$begingroup$
This question already has an answer here:
How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
4 answers
I am a beginner in using Wilcoxon test to get the p-value. After applying the test to my data, I got the p-value < 2.2e-16. Does that mean that the samples I have are significantly different from each other? I am suspicious of such a result. I have looked at other related questions (such as this question) but I didn't really understand what this value means.
Can someone please explain?
r p-value wilcoxon-mann-whitney
edited yesterday
Nick Cox
39.4k588132
asked yesterday
Adam AminAdam Amin
1263
$endgroup$
marked as duplicate by amoeba, Michael Chernick, mkt, Frans Rodenburg, Jarle Tufto 18 hours ago
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
1
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
yesterday
add a comment |
$begingroup$
This question already has an answer here:
How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
4 answers
I am a beginner in using Wilcoxon test to get the p-value. After applying the test to my data, I got the p-value < 2.2e-16. Does that mean that the samples I have are significantly different from each other? I am suspicious of such a result. I have looked at other related questions (such as this question) but I didn't really understand what this value means.
Can someone please explain?
r p-value wilcoxon-mann-whitney
edited yesterday
Nick Cox
39.4k588132
asked yesterday
Adam AminAdam Amin
1263
$endgroup$
This question already has an answer here:
How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
4 answers
I am a beginner in using Wilcoxon test to get the p-value. After applying the test to my data, I got the p-value < 2.2e-16. Does that mean that the samples I have are significantly different from each other? I am suspicious of such a result. I have looked at other related questions (such as this question) but I didn't really understand what this value means.
Can someone please explain?
This question already has an answer here:
How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
4 answers
r p-value wilcoxon-mann-whitney
r p-value wilcoxon-mann-whitney
edited yesterday
Nick Cox
39.4k588132
asked yesterday
Adam AminAdam Amin
1263
edited yesterday
Nick Cox
39.4k588132
asked yesterday
Adam AminAdam Amin
1263
edited yesterday
Nick Cox
39.4k588132
edited yesterday
Nick Cox
39.4k588132
edited yesterday
Nick Cox
39.4k588132
39.4k588132
asked yesterday
Adam AminAdam Amin
1263
asked yesterday
Adam AminAdam Amin
1263
asked yesterday
Adam AminAdam Amin
1263
1263
marked as duplicate by amoeba, Michael Chernick, mkt, Frans Rodenburg, Jarle Tufto 18 hours ago
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
marked as duplicate by amoeba, Michael Chernick, mkt, Frans Rodenburg, Jarle Tufto 18 hours ago
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
1
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
yesterday
add a comment |
1
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
yesterday
1
1
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
yesterday
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
yesterday
add a comment |
3 Answers
3
active
oldest
votes
$begingroup$
2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.
The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.
< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).
answered yesterday
morphistmorphist
1163
New contributor
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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add a comment |
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Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:
N was small
The difference was expected to be small
Other studies find small differences.
and so on.
I would make a density plot of the values in each of the groups and see if they look really different.
edited yesterday
Sycorax
42.7k12112207
answered yesterday
Peter Flom♦Peter Flom
77.6k12110219
$endgroup$
add a comment |
$begingroup$
You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.
answered yesterday
Ahmed ArifAhmed Arif
1415
$endgroup$
add a comment |
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.
The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.
< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).
answered yesterday
morphistmorphist
1163
New contributor
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.
The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.
< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).
answered yesterday
morphistmorphist
1163
New contributor
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.
The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.
< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).
answered yesterday
morphistmorphist
1163
New contributor
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
2.2e-16 is the scientific notation of 0.00000000000000022, meaning it is very close to zero. Your statistical software probably uses this notation automatically for very small numbers. You may be able to change this in the settings.
The notation alone is no reason to be suspicious. The result itself might be, but you will have to be the judge of that.
< 2.2e-16 as the p value would indicate a significant result, meaning that the actual p value is even smaller than 2.2e-16 (a typical threshold is 0.05, anything smaller counts as statistically significant).
answered yesterday
morphistmorphist
1163
New contributor
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered yesterday
morphistmorphist
1163
New contributor
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered yesterday
morphistmorphist
1163
answered yesterday
morphistmorphist
1163
1163
New contributor
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
morphist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
$begingroup$
Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:
N was small
The difference was expected to be small
Other studies find small differences.
and so on.
I would make a density plot of the values in each of the groups and see if they look really different.
edited yesterday
Sycorax
42.7k12112207
answered yesterday
Peter Flom♦Peter Flom
77.6k12110219
$endgroup$
add a comment |
$begingroup$
Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:
N was small
The difference was expected to be small
Other studies find small differences.
and so on.
I would make a density plot of the values in each of the groups and see if they look really different.
edited yesterday
Sycorax
42.7k12112207
answered yesterday
Peter Flom♦Peter Flom
77.6k12110219
$endgroup$
add a comment |
$begingroup$
Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:
N was small
The difference was expected to be small
Other studies find small differences.
and so on.
I would make a density plot of the values in each of the groups and see if they look really different.
edited yesterday
Sycorax
42.7k12112207
answered yesterday
Peter Flom♦Peter Flom
77.6k12110219
$endgroup$
Adding to Morphist's answer (+1 to Morphist), I would be suspicious of this if:
N was small
The difference was expected to be small
Other studies find small differences.
and so on.
I would make a density plot of the values in each of the groups and see if they look really different.
edited yesterday
Sycorax
42.7k12112207
answered yesterday
Peter Flom♦Peter Flom
77.6k12110219
edited yesterday
Sycorax
42.7k12112207
edited yesterday
Sycorax
42.7k12112207
edited yesterday
Sycorax
42.7k12112207
42.7k12112207
answered yesterday
Peter Flom♦Peter Flom
77.6k12110219
answered yesterday
Peter Flom♦Peter Flom
77.6k12110219
answered yesterday
Peter Flom♦Peter Flom
77.6k12110219
77.6k12110219
add a comment |
add a comment |
$begingroup$
You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.
answered yesterday
Ahmed ArifAhmed Arif
1415
$endgroup$
add a comment |
$begingroup$
You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.
answered yesterday
Ahmed ArifAhmed Arif
1415
$endgroup$
add a comment |
$begingroup$
You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.
answered yesterday
Ahmed ArifAhmed Arif
1415
$endgroup$
You will reject your null hypothesis in this situation as the p < 0.01. If you are comparing difference with respect to some variable in two groups, then it means both groups have significance differences in the mean values of that variable.
answered yesterday
Ahmed ArifAhmed Arif
1415
answered yesterday
Ahmed ArifAhmed Arif
1415
answered yesterday
Ahmed ArifAhmed Arif
1415
answered yesterday
Ahmed ArifAhmed Arif
1415
1415
add a comment |
add a comment |
1
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
yesterday