「Regression model」の版間の差分

2022年12月12日 (月) 01:07時点における版

Basics & Definition
Epidemiology
Odds in statistics and Odds in a horse race
Collider bias
Data distribution
Statistical test
Regression model
Multivariate analysis
Marginal effects
Prediction and decision
Table-related commands in STATA
Missing data and imputation

		Independent variable (exposure)
		Monovariable (single variable)	Multivariable (multiple variables)
Dependent variable (outcome)	Continuous	Simple linear regression [math]\displaystyle{ Y = a + bX }[/math]	Multiple† linear regression [math]\displaystyle{ Y = a + b_1X_1 + b_2X_2 + b_3X_3 + \cdots }[/math]
	Binary	Simple binary logistic regression [math]\displaystyle{ \log Y = a + bX }[/math] where [math]\displaystyle{ Y }[/math] is odds of outcome	Multiple† binary logistic regression [math]\displaystyle{ \log Y = a + b_1X_1 + b_2X_2 + b_3X_3 + \cdots }[/math] where [math]\displaystyle{ Y }[/math] is odds of outcome
	Multinominal ≥ 3	Simple multinominal logistic regression	Multiple† multinominal logistic regression
	Ordinal	Simple ordinal logistic regression	Multiple† ordinal logistic regression
Survival time		Multiple proportional hazard regression = Cox hazard regression

†'Multiple' can be rephrased as 'Multivariable'; <color="red">NOT 'Multivariate'!!<color="red">

@@ 11行目: / 11行目: @@
 !style="width:250px"|Multivariable (multiple variables)
 |-
-!rowspan="3"|Dependent variable<br>(outcome)
+!rowspan="4"|Dependent variable<br>(outcome)
 !Continuous
 |
@@ 18行目: / 18行目: @@
 |
-*'''Multivariable linear regression'''
+*'''Multiple&dagger; linear regression'''
 ::<math>Y = a + b_1X_1 + b_2X_2 + b_3X_3 + \cdots</math>
@@ 24行目: / 24行目: @@
 !Binary
 |
-*'''Simple logistic regression'''
+*'''Simple binary logistic regression'''
 ::<math>\log Y = a + bX</math><br>where <math>Y</math> is odds of outcome
 |
-*'''Multiple logistic regression'''
+*'''Multiple&dagger; binary logistic regression'''
 ::<math>\log Y = a + b_1X_1 + b_2X_2 + b_3X_3 + \cdots</math><br>where <math>Y</math> is odds of outcome
+|-
+!Multinominal<br>&ge; 3
+|
+*'''Simple multinominal logistic regression'''
+|
+*'''Multiple&dagger; multinominal logistic regression'''
+|-
+!Ordinal
+|
+*'''Simple ordinal logistic regression'''
+|
+*'''Multiple&dagger; ordinal logistic regression'''
 |-
 !Survival time
@@ 36行目: / 53行目: @@
 *'''Multiple proportional hazard regression'''<br>= '''Cox hazard regression'''
 |}
+&dagger;'Multiple' can be rephrased as 'Multivariable'; <color="red">'''NOT 'Multivariate'!!'''<color="red">