Questions tagged [residuals]
The residuals of a model are the actual values minus the predicted values. Many statistical models make assumptions about the error, which is estimated by the residuals.
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Expectation of reciprocal residual sum of squares
Consider an IID sample $X_1 , \cdots, X_n \in \mathbb{R}^d$, then what can we say about the expectation of the reciprocal residuals when projecting onto every other point? That is can we compute
$$
E \...
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Comparing Gaussian GLMM models for positive, slightly non-normal data: Interpreting conflicting model selection criteria
I'm analyzing data using glmmTMB in R with the following model structure:
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Multilevel Model Residuals Scatterplot Assumptions
I am conducting multilevel modelling (MLM) in SPSS (mixed modeling) to analyze cross-sectional repeated measures data. One of my dependent variables is a survey question scaled 1 to 10, which ...
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Compare residuals of B-cubic spline fit of two groups
I have two groups, A and B.
I perform multiple measurements of the response, amplitude versus time. For the group A and the group B. The response is non-linear; therefore, I perform a Cubic B-spline ...
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on a linear regression analysis, the determination coefficient is 0.99, but the residuals are not distributed normally. How do I interpret this?
So to preface I'd like to say that this is for homework and I am not very good at statistics. Please explain things to me like I am 5 years old.Also english is not my first language.
So the homework ...
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Correcting data using model residuals
I am trying to follow a method from a paper to correct my data for technical effects. The method suggests to take the central portion of my data to guard against outliers (which I can do), fit a ...
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Distribution of the model vs. Distribution of the Residuals
Let's say I'm going to do an analysis where my response variable has a gamma distribution. I perform the analysis pointing to the distribution in my model (eg. using the lme4 package, m1<-glmer(Y~...
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When is E[Xi*ui]=0 violated, given that the residuals are by construction of the model uncorrelated with the predictors?
To begin: I am aware that the concepts of the "error term" and "residual" two distinct ones. Yet, I have difficulties understanding their implications for (multiple) linear ...
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How to convert residual predictions back to original unit in a multiple regression model
I am trying to use a multiple-linear regression model based on observed air temperature (ta) and precipitation (pr) time series ...
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Why are these Partial Residual Plots similar despite having different y-axis (partial residual range vs. component + residual)
I am working to produce some partial residual plots to better communicates the effects associated with each independent variable in a multiple regression model. I am using two methods to plot these ...
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Graphical analysis of residuals
For an electricity experiment, I have collected data on the charging and discharging of a capacitor. Using the data and scipy.curve_fit, I have fitted the theoretical models. Now, I need to validate ...
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Normality of residuals versus AIC and "best" fit
Hoping to get some insight into normality of residuals vs the "best" fit of the model.
After running a simple linear regression and checking normality of the residuals, I logged my outcome ...
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3 way interaction, residual plot showing clustering across fitted values, do I need to account for grouping in a different way?
I have created a model with a three way interaction, analyzing how taste of bread (fr2) decreases over time (time2), and how skill of the baker (skill2) impacts longevity of taste, across different ...
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Dependence in ARCH empirical residuals
Suppose $R_1, R_2, \dots, R_T$ are observed values of ARCH(1) process ($R_i = \sigma_i z_i$). I then estimate ARCH(1) parameters $\hat{\omega}, \hat{\alpha}$ and calculate empirical standardized ...
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Non-normally distributed residuals and linear mixed-effects models [closed]
I am working with a rather small dataset (cca 150 DPs coming from 10 participants) and trying to model fixation duration as a function of two independent variables: 1 with two levels (deviation-coded: ...
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