「Missing data and imputation」の版間の差分
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!style="witdh:4em" rowspan="2"|Abbr. | !style="witdh:4em" rowspan="2"|Abbr. | ||
!colspan="2"|Missing depends on/<br>Missing occurs because of | !colspan="2"|Missing depends on/<br>Missing occurs because of | ||
− | !rowspan="2"|[Example]<br>A cohort study in which participants self report their body weight every week via special app installed on their smartphones | + | !rowspan="2"|[Example]<br>A cohort study in which participants self report their body weight every week via special app installed on their smartphones. Demographic variables are also collected. |
|- | |- | ||
− | !style="width:7em"|missing value itself | + | !style="width:7em"|missing (unobserved) value itself |
!style="width:7em"|other observed variable(s) | !style="width:7em"|other observed variable(s) | ||
|- | |- | ||
!Missing not at random | !Missing not at random | ||
!MNAR | !MNAR | ||
− | |style="text-align:center"|YES | + | |style="text-align:center"|<big>YES</big> |
|style="text-align:center"|— | |style="text-align:center"|— | ||
| | | | ||
− | *Some participants intentionally denied to report higher body weights they didn't like and only reported lower body weights they accepted | + | *Some participants '''intentionally denied to report higher body weights they didn't like''' and only reported lower body weights they accepted |
*Researchers have no information why they denied to report body weights in several weeks | *Researchers have no information why they denied to report body weights in several weeks | ||
− | **Missing occurred because of the values themselves | + | **Missing occurred '''because of the missing values themselves''' |
**Researchers cannot explain/predict the missing mechanism from other observed (reported) body weights or other variables | **Researchers cannot explain/predict the missing mechanism from other observed (reported) body weights or other variables | ||
|- | |- | ||
!Missing at randam | !Missing at randam | ||
!MAR | !MAR | ||
− | |style="text-align:center"|NO | + | |style="text-align:center"|<big>NO</big> |
− | |style="text-align:center"|YES | + | |style="text-align:center"|<big>YES</big> |
| | | | ||
− | *15% of female participants denied to report their body weights after participation regardless of measured body weights, but only 1% of male denied to report | + | *'''15% of female participants denied to report''' their body weights after participation '''regardless of measured body weights''', but only 1% of male denied to report |
*Researchers can identify that female participants more likely denied to report body weights than male | *Researchers can identify that female participants more likely denied to report body weights than male | ||
− | **Missing occurred | + | **Missing occurred NOT because of body weights themselves but '''because of another variable ''sex''''' |
− | **Missing mechanism is at random, i.e., free from missing values | + | **Missing mechanism is at random, i.e., free from missing values only inside each participant, but NOT at random, i.e., NOT free from variable ''sex'' |
− | |||
|- | |- | ||
!Missing completely at random | !Missing completely at random | ||
!MCAR | !MCAR | ||
− | |style="text-align:center"|NO | + | |style="text-align:center"|<big>NO</big> |
− | |style="text-align:center"|NO | + | |style="text-align:center"|<big>NO</big> |
| | | | ||
− | *A participant moved to outside cohort area because of family affair and was lost to follow up | + | *A participant '''moved to outside cohort area''' because of family affair and was lost to follow up |
− | *A participant failed to report body weights because of malfunction of the app | + | *A participant '''failed to report body weights because of malfunction of the app''' |
− | **Missing occurred | + | **Missing occurred NOT because of body weights themselves NOR other variables |
**Missing mechanism is completely at random, i.e., completely free from both of missing (unobserved) values and observed values in body weight or in other variables | **Missing mechanism is completely at random, i.e., completely free from both of missing (unobserved) values and observed values in body weight or in other variables | ||
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2023年12月10日 (日) 17:18時点における最新版
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Three mechanisms (assumptions) of data missing
Abbr. | Missing depends on/ Missing occurs because of |
[Example] A cohort study in which participants self report their body weight every week via special app installed on their smartphones. Demographic variables are also collected. | ||
---|---|---|---|---|
missing (unobserved) value itself | other observed variable(s) | |||
Missing not at random | MNAR | YES | — |
|
Missing at randam | MAR | NO | YES |
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Missing completely at random | MCAR | NO | NO |
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