「Regression model」の版間の差分

2022年12月12日 (月) 00:48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]
Dependent variable (outcome)	Binary	Logistic regression [math]\displaystyle{ \log Y = a + bX }[/math] where [math]\displaystyle{ Y }[/math] is odds of outcome	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

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 {{Epi Stat}}
+==Classification of Regression models==
+{|class="wikitable"
+|-
+!colspan="2" rowspan="2" style="width:150px"|
+!colspan="2"|Independent variable (exposure)
+|-
+!style="width:250px"|Monovariable (single variable)
+!style="width:250px"|Multivariable (multiple variables)
+|-
+!rowspan="2"|Dependent variable<br>(outcome)
+!Continuous
+|
+*'''Simple linear regression'''
+::<math>Y = a + bX</math>
+|
+*'''Multivariable linear regression'''
+::<math>Y = a + b_1X_1 + b_2X_2 + b_3X_3 + \cdots</math>
+|-
+!Binary
+|
+*'''Logistic regression'''
+::<math>\log Y = a + bX</math><br>where <math>Y</math> is odds of outcome
+|
+*'''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
+|}