# Questions tagged [partial-effect]

The partial effect of individual explanatory/predictor variables from a fitted model on a dependent variable.

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### Variance partitioning when using a response from 1st study as a predictor in 2nd study

I use linear mixed-effects models to analyze my data, where I have a variable C that is used as a response and an explanatory variable in separate studies. In the first study C ~ A + (1|B), I found ...
25 views

### Tiny partial effects but high R² in GAMs - and the other way around

I am currently running GAMs with mgcv package and am trying to find a good one by looking at summary() and the visual outputs ...
19 views

### Bridging the gap from theory to implementation in "Conditional Distance Correlation" by Wang et al. 2015?

In an attempt to implement a form of conditional distance correlation for random variables represented as vectors of observations, I came upon this paper that nicely extends the notion of distance ...
16 views

### Is there a natural extension of the ACF/PACF to more general measures of dependency?

Assume that we have a time series that we want to model as a stationary real-valued stochastic process: $$X_t , t \in \{0, 1, \dots \}.$$ Two complementary measures of linear dependence between the ...
139 views

### Should individual $R^2$ of a predictor always be greater than $\Delta R^2$ when removing that predictor from an expanded model?

I'm running some regressions with a set of somewhat correlated predictors. Let's call these predictors $x$, $y$ and $z$, and my dependent variable $d$. I'm focused on the effect of $x$ on $d$. I first ...
508 views

### Creating a partial dependant plot for a prediction function [closed]

I am working on creating a partial dependant plot for one of my features (B). The problem is that I didn't use any model to predict my output (R). I've used a ...
81 views

### How to test if $x_1$ has a positive partial effect on $y$ taking into account the linear and quadratic components of $x_1$?

I have a quadratic population model of the form: $y=\beta_0+\beta_1x_1+\beta_2x_2+\beta_3x_1^2+\mu$ I want to test if $x_1$ has a positive partial effect on $y$. How can I run such a hypothesis test ...
47 views

### R: DALEX::model_profile vs PDP::partial

I am comparing partial dependence values on the churn data using DALEX and pdp packages in R. The first bit is a caret model ...
42 views

### GLM output says one thing, but glm graph says another, Simpson's Paradox?

I am running a GLM to evaluate the influence of canopy cover and vegetation density on average black-globe temperature. I ran a simple glm, but when I plot the model output, the plot does not agree ...
1 vote
71 views

### Obtain Multiple Regression coefficients from Partial Correlation Coefficients and ANOVA table

I know, that results from multiple linear regression, partial correlation analysis and ANOVA are tightly related to each other. The answers to this and this question indicate that the results may be &...
1 vote
45 views

### Is the PARTIAL regression coefficient always smaller than the SIMPLE regression coefficient (when all variables are positively correlated)?

Suppose we have three variables: X1, X2, and Y. X1 and X2 are the independent variables (IVs) and Y is the dependent variable (DV). Suppose that each IV is positively associated with the DV. Suppose ...
80 views

### Can I partial out covariates with true coefficients known in Logit?

Suppose the model is $$\ln(\frac{P_{ij}}{1-P_{ij}}) = X_{ij}\beta_0 + A_i + A_j + \epsilon_{ij},$$ The unit of observation is at $ij$ level, and $A_i$ and $A_j$ are coefficients on the dummy for ...
80 views

### How to test for a partially mediated model?

I have a dataset with three variables: Outcome, Exposure, and Mediator. My hypothesis is that the variables are related as in the following DAG: In particular I want to test that "Mediator" ...
1k views

### How to calculate percent partial deviance explained by each predictor variable in a GAM model?

I am trying to find a sensible way to calculate the deviance explained by each predictor variable in a GAM model and need some input on my calculations. Following Simon Wood's example on the thread ...
45 views

### difference partial dependence and feature weights

Assume we train a linear model to predict a numeric outcome. A feature's model weight would essentially quantify me how much the outcome variable increases for each increase in the predictor's value. ...
162 views

### Multicollinearity and Partial Dependence Questions

Assume I build a binary classification model to predict p(y=1) from {x1, x2, ... x10} For now, assume that model could be a GBM, RandomForest, or Logistic Regression. Also assume that all of the ...
1 vote
11 views

### Partial and Semi-partial/Part correlation in matrix/vector form

For three variables, e.g. $X$, $Y$, and $Z$, it is easy for me to deduce the partial and semi-partial correlation coefficients (in general), however I cannot do the same for more than three variables. ...
1 vote
33 views

### Partial derivative of bivariate cdf

Suppose the bivariate cdf $F(a,b)=Pr(X\leq a, Y\leq b)$ is differentiable in $(a,b)$. Is it true that $\frac{\partial Pr(X\leq a, Y\leq b)}{\partial a}=Pr(X=a,Y\leq b)$?
758 views

### is there a R function to do multiple comparison for all levels of a categorical variable by capscale (vegan) with a covariate? [closed]

First, I did DB-RDA for a community dataset with two factors and one covariate. The results showed the interaction effect was significant. Then, I need to do the pairwise comparison for all the levels....
1 vote
139 views

### Partial skewness (kurtosis)

On Wikipedia one can read: In probability theory and statistics, partial correlation measures the degree of association between two random variables, with the effect of a set of controlling random ...
51 views

### Which test you recommend?

Assume in a study the dependent variable is quantitative, while most independent variables are categorical, with some of them being quantitative. We aim to evaluate the relationship between the ... 3k views

### Standard partial regression plot vs. effect plot from 'effects' package

I'll use a modification of this example to ask my question about an apparent alternative way of presenting a partial regression plot, using the effects package. ...
4k views

### Partial dependence plot for glm in r -- why linear?

I'd like to understand why my partial dependence plots for a logistic regression model simply show up as straight lines -- even when I'd expect basically a threshold effect from a covariate. I know ...
1k views

### Interpretation of partial eta-squared in factorial designs

I'm having troubles interpreting and comparing effect sizes in factorial designs based on partial eta squared values. E.g. in a 3x3-within-subjects design with: η²part, A = .2 η²part, B = .4 η²part, ...
252 views

### Quantifying uncertainty when fitting a statistical model to partial effects/dependencies from a random forest (or other machine learning model)

Question: I estimate the partial dependence of $y$ on one predictor in a fitted random forest (RF). I want to now fit a parametric model to this partial dependence. How can I estimate my uncertainty ...
590 views

### A null Chi-square test – what could be done next?

I have a rating (from 1 to 5) under two conditions (let’s call them "blue" and "red"). I tested whether the distribution of the ratings is significantly different using a chi squared test for goodness ...
4k views

### Generating and interpreting partial dependence plots [closed]

I am trying to mimic partial dependence plots as explained in R's pdp package (https://journal.r-project.org/archive/2017/RJ-2017-016/RJ-2017-016.pdf). The second ...
1 vote
345 views

### Causality Analysis and test of Independence

First the problem: I am refering to lecture note, on page 480, 2nd paragraph, it mentions If X is in fact useless for predicting Y given Z, then an adaptive bandwidth selection procedure (like ...
9k views

### How to do partial regression plots with linear mixed-effect models?

I have a linear mixed-effect model in R with two continuous fixed-effects and one random effect, like this: ...
1 vote
228 views

### Partial effects whithout ceteris paribus assumption

Is it possible to estimate the partial effect of the exogenous variables without holding other variables constant, in other words without ceteris paribus assumption? I know that in normal case we need ...
1 vote
339 views

### Partial correlation or two separate correlations? How to interpret?

Hope someone can help me here: So there are variables A, B, C, and D and groups 1 and 2. Groups significantly differ in variables A and B, but not in C and D. From previous research, correlations are ...
1 vote
25 views

### How to report total and complete results

I have conducted a social research with one thousand complete participations and more than 1200 total participations (incomplete contributions included). In reporting the results, what is the best ...
424 views

### partial scalar measurement invariance

I have performed a measurement invariance analysis in R using SemTools, to assess the five factor structure of a questionnaire across 3 age groups. The latent variables have 5 indicators (5 items). I ...
6k views

### Partial Dependence plot interpretation for Categorical variables

I am using partial dependence plot from random forest. The partial plot doesn't make sense to me. 10th completed people have only 62 out of 933 people as 1. But the partial plot shows positive bar, ...
926 views

### Partial/marginal effects after probit regression

Is it plausible to get positive coefficients after running a probit but negative partial/marginal effects? If so, what is the intuition?
273 views

### Get covariance from conditional covariance for lognormal (and other) observations?

Consider lognormal random variables $X_1$ and $X_2$ with correlation coefficient $ρ$ and a partial observation sample of them of length N, the sample being partial because it only contains occurrences ...
78 views

### How to get the regressed output?

I have a model Y = slope1*variable1 + slope2*variable2 + Intercept. I used lm in R to get slope1, slope2 and Intercept. In this case, variable1 is my main effect ...
1 vote
2k views

### how to plot 3D partial dependence in GBM

I can use the following code to get one-dimensional partial dependence plot. what code can I plot two-variable partial dependence plot, that's the three dimensional figure. Thanks. plot.gbm(GBMmodel,...
3k views

### Difference between Partial Correlation and Semi-Partial Correlation

Partial Correlation is when there are three things connected each other(A,B,C), when comparing A and B, we should think about the effect of C so when we calculate the pure relationship between A and B,...
1k views

### Why it is popular to use stochastic gradient descent in neural networks rather than the BFGS algorithm? [duplicate]

I have made two solvers to implement neural networks, one is based on stochastic gradient descent (SGD) while the other is based on the BFGS (Broyden-Fletcher-Goldfarb-Shanno) algorithm. I have read ...
998 views

### Marginal Effects of Discrete Variables in Quantile Regression

I find myself puzzled by a passage about marginal effects of discrete variables in quantile regression. On p. 217 of Cameron and Trivedi's MUS book, the authors write: For the $j$th (continuous) ...
121 views

### Partial sorting: select at most N elements including for sure the top T elements

To whom it may concern. My "population" with known size P is a landscape and has not more than 4 peaks with about same high. Naturally top elements group locally within the population. I seek the top ...
582 views

6k views

### How are partial regression slopes calculated in multiple regression?

I'm trying to understand how multiple regression statistically controls for the effects of other predictor variables when calculating partial regression slopes. In a multiple regression of Y~X1+X2, ...