Is it appropriate to use Mann-Whitney U test for each of four outcomes when outcomes are mutually exclusive?
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I have an experiment in which we randomize primate subjects into high condition (n=9) and low condition (n=8) groups, and document each subject's behavioral response to 15 consecutive food exposure trials. Each subject's behavioral response during every trial is classified into one of four discrete categories (food A selection, food B selection, food rejection, no selection).
I am interested in comparing the frequency of each of these four behaviors among the high condition group to the frequency among the low condition group. Since the data are not normally distributed, my idea was to use a Mann-Whitney U test to compare the frequency of a given behavior in one condition to the frequency in other condition. I would thus be doing four tests, one for each behavior.
However, I realize that each of these four behavioral outcomes is not independent of the others (e.g., if food A is selected in a given trial, that means food B was not selected). Does this make using the Mann-Whitney U test and drawing conclusions from it inappropriate? Am I better off trying a Chi-squared test to compare the two conditions? Someone I work with suggested using Chi-squared, but I am not sure it would be appropriate here.
statistics statistical-inference
asked Jan 9 at 16:06
Jay SJay S
12
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add a comment |
$begingroup$
I have an experiment in which we randomize primate subjects into high condition (n=9) and low condition (n=8) groups, and document each subject's behavioral response to 15 consecutive food exposure trials. Each subject's behavioral response during every trial is classified into one of four discrete categories (food A selection, food B selection, food rejection, no selection).
I am interested in comparing the frequency of each of these four behaviors among the high condition group to the frequency among the low condition group. Since the data are not normally distributed, my idea was to use a Mann-Whitney U test to compare the frequency of a given behavior in one condition to the frequency in other condition. I would thus be doing four tests, one for each behavior.
However, I realize that each of these four behavioral outcomes is not independent of the others (e.g., if food A is selected in a given trial, that means food B was not selected). Does this make using the Mann-Whitney U test and drawing conclusions from it inappropriate? Am I better off trying a Chi-squared test to compare the two conditions? Someone I work with suggested using Chi-squared, but I am not sure it would be appropriate here.
statistics statistical-inference
asked Jan 9 at 16:06
Jay SJay S
12
$endgroup$
add a comment |
$begingroup$
I have an experiment in which we randomize primate subjects into high condition (n=9) and low condition (n=8) groups, and document each subject's behavioral response to 15 consecutive food exposure trials. Each subject's behavioral response during every trial is classified into one of four discrete categories (food A selection, food B selection, food rejection, no selection).
I am interested in comparing the frequency of each of these four behaviors among the high condition group to the frequency among the low condition group. Since the data are not normally distributed, my idea was to use a Mann-Whitney U test to compare the frequency of a given behavior in one condition to the frequency in other condition. I would thus be doing four tests, one for each behavior.
However, I realize that each of these four behavioral outcomes is not independent of the others (e.g., if food A is selected in a given trial, that means food B was not selected). Does this make using the Mann-Whitney U test and drawing conclusions from it inappropriate? Am I better off trying a Chi-squared test to compare the two conditions? Someone I work with suggested using Chi-squared, but I am not sure it would be appropriate here.
statistics statistical-inference
asked Jan 9 at 16:06
Jay SJay S
12
$endgroup$
I have an experiment in which we randomize primate subjects into high condition (n=9) and low condition (n=8) groups, and document each subject's behavioral response to 15 consecutive food exposure trials. Each subject's behavioral response during every trial is classified into one of four discrete categories (food A selection, food B selection, food rejection, no selection).
I am interested in comparing the frequency of each of these four behaviors among the high condition group to the frequency among the low condition group. Since the data are not normally distributed, my idea was to use a Mann-Whitney U test to compare the frequency of a given behavior in one condition to the frequency in other condition. I would thus be doing four tests, one for each behavior.
However, I realize that each of these four behavioral outcomes is not independent of the others (e.g., if food A is selected in a given trial, that means food B was not selected). Does this make using the Mann-Whitney U test and drawing conclusions from it inappropriate? Am I better off trying a Chi-squared test to compare the two conditions? Someone I work with suggested using Chi-squared, but I am not sure it would be appropriate here.
statistics statistical-inference
statistics statistical-inference
asked Jan 9 at 16:06
Jay SJay S
12
asked Jan 9 at 16:06
Jay SJay S
12
edited Jan 9 at 17:03
Jay S
asked Jan 9 at 16:06
Jay SJay S
12
asked Jan 9 at 16:06
Jay SJay S
12
asked Jan 9 at 16:06
Jay SJay S
12
12
add a comment |
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