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;








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







share|cite|improve this question











$endgroup$







  • 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

















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







share|cite|improve this question











$endgroup$







  • 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













0












0








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







share|cite|improve this question











$endgroup$




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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 13 hours ago









Nick Cox

39.4k588132




39.4k588132










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












  • 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










3 Answers
3






active

oldest

votes


















8












$begingroup$

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).






share|cite|improve this answer








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.






$endgroup$




















    0












    $begingroup$

    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.






    share|cite|improve this answer











    $endgroup$




















      0












      $begingroup$

      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.






      share|cite|improve this answer









      $endgroup$













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        3 Answers
        3






        active

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        3 Answers
        3






        active

        oldest

        votes









        active

        oldest

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        active

        oldest

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        8












        $begingroup$

        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).






        share|cite|improve this answer








        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.






        $endgroup$

















          8












          $begingroup$

          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).






          share|cite|improve this answer








          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.






          $endgroup$















            8












            8








            8





            $begingroup$

            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).






            share|cite|improve this answer








            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).







            share|cite|improve this answer








            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.









            share|cite|improve this answer



            share|cite|improve this answer






            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




            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.























                0












                $begingroup$

                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.






                share|cite|improve this answer











                $endgroup$

















                  0












                  $begingroup$

                  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.






                  share|cite|improve this answer











                  $endgroup$















                    0












                    0








                    0





                    $begingroup$

                    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.






                    share|cite|improve this answer











                    $endgroup$



                    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.







                    share|cite|improve this answer














                    share|cite|improve this answer



                    share|cite|improve this answer








                    edited 7 hours ago









                    Sycorax

                    42.7k12112207




                    42.7k12112207










                    answered 7 hours ago









                    Peter Flom♦Peter Flom

                    77.6k12110219




                    77.6k12110219





















                        0












                        $begingroup$

                        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.






                        share|cite|improve this answer









                        $endgroup$

















                          0












                          $begingroup$

                          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.






                          share|cite|improve this answer









                          $endgroup$















                            0












                            0








                            0





                            $begingroup$

                            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.






                            share|cite|improve this answer









                            $endgroup$



                            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.







                            share|cite|improve this answer












                            share|cite|improve this answer



                            share|cite|improve this answer










                            answered 7 hours ago









                            Ahmed ArifAhmed Arif

                            1314




                            1314



























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