「Regression model」の版間の差分

2022年12月19日 (月) 11:41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]	Multivariable† 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	Multivariable† 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	Multivariable† multinominal logistic regression
	Ordinal	Simple ordinal logistic regression	Multivariable† ordinal logistic regression
	Survival time		Multivariable proportional hazard regression = Cox hazard regression [math]\displaystyle{ \log h(T) = \log h_0(T) + b_1X_1 + b_2X_2 + b_3X_3 + \cdots }[/math] where [math]\displaystyle{ h(T) }[/math] is the hazard at time [math]\displaystyle{ T }[/math] and [math]\displaystyle{ h_0(T) }[/math] is the baseline hazard at time [math]\displaystyle{ T }[/math]

†'Multivariable' can be rephrased as 'Multiple'; Multivariable is NOT equal to 'Multivariate'!!

@@ 18行目: / 18行目: @@
 |
-*'''Multiple&dagger; linear regression'''
+*'''Multivariable&dagger; linear regression'''
 ::<math>Y = a + b_1X_1 + b_2X_2 + b_3X_3 + \cdots</math>
@@ 28行目: / 28行目: @@
 |
-*'''Multiple&dagger; binary logistic regression'''
+*'''Multivariable&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
@@ 37行目: / 37行目: @@
 |
-*'''Multiple&dagger; multinominal logistic regression'''
+*'''Multivariable&dagger; multinominal logistic regression'''
 |-
@@ 45行目: / 45行目: @@
 |
-*'''Multiple&dagger; ordinal logistic regression'''
+*'''Multivariable&dagger; ordinal logistic regression'''
 |-
@@ 51行目: / 51行目: @@
 |
 |
-*'''Multiple proportional hazard regression'''<br>= '''Cox hazard regression'''
+*'''Multivariable proportional hazard regression'''<br>= '''Cox hazard regression'''
 ::<math>\log h(T) = \log h_0(T) + b_1X_1 + b_2X_2 + b_3X_3 + \cdots</math><br>where <math>h(T)</math> is the hazard at time <math>T</math><br>and <math>h_0(T)</math> is the baseline hazard at time <math>T</math>
 |}
-&dagger;'Multiple' can be rephrased as 'Multi'''variable''''; <font color="red">'''NOT 'Multivariate'!!'''</font>
+&dagger;'Multivariable' can be rephrased as 'Multiple'; Multivariable is <font color="red">'''NOT equal to 'Multivariate'!!'''</font>