What is the interpretation of the p-value of 2.2e-16? Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)Interpreting p-value < 2.2e-16 in RSanity check: how low can a p-value go?Statistical comparison of two means with a range not starting at 0Is the exact value of a 'p-value' meaningless?What does p-value mean in R?Interpretation of ur.df - “p-value”?What test should I use for two groups of different number of measurements and low number of samples?Getting a P value of 1 when medians/means are different (Wilcoxon rank sum test)How to interpret Wilcoxon test for small difference in location?wilcox.test R questionAn issue with computing the Wilcoxon test using R
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What is the interpretation of the p-value of 2.2e-16?
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)Interpreting p-value < 2.2e-16 in RSanity check: how low can a p-value go?Statistical comparison of two means with a range not starting at 0Is the exact value of a 'p-value' meaningless?What does p-value mean in R?Interpretation of ur.df - “p-value”?What test should I use for two groups of different number of measurements and low number of samples?Getting a P value of 1 when medians/means are different (Wilcoxon rank sum test)How to interpret Wilcoxon test for small difference in location?wilcox.test R questionAn issue with computing the Wilcoxon test using R
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
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 13 hours ago
Nick Cox
39.4k588132
asked 15 hours ago
Adam AminAdam Amin
1213
$endgroup$
add a comment |
$begingroup$
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 13 hours ago
Nick Cox
39.4k588132
asked 15 hours ago
Adam AminAdam Amin
1213
$endgroup$
2
$begingroup$
Possible duplicate of How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
$endgroup$
– corey979
11 hours ago
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
9 hours ago
add a comment |
$begingroup$
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 13 hours ago
Nick Cox
39.4k588132
asked 15 hours ago
Adam AminAdam Amin
1213
$endgroup$
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
r p-value wilcoxon-mann-whitney
edited 13 hours ago
Nick Cox
39.4k588132
asked 15 hours ago
Adam AminAdam Amin
1213
edited 13 hours ago
Nick Cox
39.4k588132
asked 15 hours ago
Adam AminAdam Amin
1213
edited 13 hours ago
Nick Cox
39.4k588132
edited 13 hours ago
Nick Cox
39.4k588132
edited 13 hours ago
Nick Cox
39.4k588132
39.4k588132
asked 15 hours ago
Adam AminAdam Amin
1213
asked 15 hours ago
Adam AminAdam Amin
1213
asked 15 hours ago
Adam AminAdam Amin
1213
1213
2
$begingroup$
Possible duplicate of How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
$endgroup$
– corey979
11 hours ago
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
9 hours ago
add a comment |
2
$begingroup$
Possible duplicate of How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
$endgroup$
– corey979
11 hours ago
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
9 hours ago
2
2
$begingroup$
Possible duplicate of How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
$endgroup$
– corey979
11 hours ago
$begingroup$
Possible duplicate of How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
$endgroup$
– corey979
11 hours ago
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
9 hours ago
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
9 hours ago
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 13 hours ago
morphistmorphist
1061
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 |
$begingroup$
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 7 hours ago
Sycorax
42.7k12112207
answered 7 hours ago
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 7 hours ago
Ahmed ArifAhmed Arif
1314
$endgroup$
add a comment |
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3 Answers
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3 Answers
3
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$begingroup$
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 13 hours ago
morphistmorphist
1061
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 13 hours ago
morphistmorphist
1061
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 13 hours ago
morphistmorphist
1061
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 13 hours ago
morphistmorphist
1061
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 13 hours ago
morphistmorphist
1061
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 13 hours ago
morphistmorphist
1061
answered 13 hours ago
morphistmorphist
1061
1061
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 7 hours ago
Sycorax
42.7k12112207
answered 7 hours ago
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 7 hours ago
Sycorax
42.7k12112207
answered 7 hours ago
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 7 hours ago
Sycorax
42.7k12112207
answered 7 hours ago
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 7 hours ago
Sycorax
42.7k12112207
answered 7 hours ago
Peter Flom♦Peter Flom
77.6k12110219
edited 7 hours ago
Sycorax
42.7k12112207
edited 7 hours ago
Sycorax
42.7k12112207
edited 7 hours ago
Sycorax
42.7k12112207
42.7k12112207
answered 7 hours ago
Peter Flom♦Peter Flom
77.6k12110219
answered 7 hours ago
Peter Flom♦Peter Flom
77.6k12110219
answered 7 hours ago
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 7 hours ago
Ahmed ArifAhmed Arif
1314
$endgroup$
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 7 hours ago
Ahmed ArifAhmed Arif
1314
$endgroup$
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 7 hours ago
Ahmed ArifAhmed Arif
1314
$endgroup$
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 7 hours ago
Ahmed ArifAhmed Arif
1314
answered 7 hours ago
Ahmed ArifAhmed Arif
1314
answered 7 hours ago
Ahmed ArifAhmed Arif
1314
answered 7 hours ago
Ahmed ArifAhmed Arif
1314
1314
add a comment |
add a comment |
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-p-value, r, wilcoxon-mann-whitney
2
$begingroup$
Possible duplicate of How should tiny $p$-values be reported? (and why does R put a minimum on 2.22e-16?)
$endgroup$
– corey979
11 hours ago
$begingroup$
Depending on your field, this might commonly be reported as p < 0.001.
$endgroup$
– APH
9 hours ago