Questions tagged [f-test]
Any hypothesis test in which the statistic has an F distribution under the null hypothesis.
3
votes
1answer
43 views
groups, levels and denominator dof in mixed effect models
I am trying very hard (I am not a statistician) to understand the concepts of "groups" and "levels" in mixed effect models. In particular, I am trying to understand this in the context of the ...
0
votes
0answers
27 views
In the F test, is a two-sided test mainly used?
I have a question about the F test.
In R language, three parameters "two.side", "less" and "greater" can be specified as arguments of var.test (). However, I can not specify a one-sided test like "...
1
vote
1answer
17 views
$F$-test with a variance being $C$ times as large as the other
I am familiar with $F$-tests in which the alternative hypothesis is defined as $H_a=\{\sigma^2_1/\sigma^2_2>C\}$ (the sign "$>$" can be either "$<$" or "$\ne$" as well), where $C=1$.
If I ...
2
votes
1answer
21 views
How to interpret $F > F_{\rm crit}$, but $p > \alpha$
My F is greater than F critical, while P-Value is 0.99 greater than alpha (0.05) which one should I consider the P value or F statistic, rejecting the Ho:
I am confused.
Edit:
$$
\begin{array}{ccc}
\...
0
votes
0answers
9 views
F test, Model selection test
How to compare which of the following two models is a better fit:
M1
$y$ = $\alpha$$X$ + $\epsilon$
M2
$ln(y)$ = $\alpha$$X$ + $\epsilon$
Can we run a test statistic to compare the two models? ...
0
votes
1answer
26 views
Two sample T test frequency table
I am struggling with a data analysis. I have made a survey and got the following answers in the first turn, I put them in a frequency table
Don't agree at all: 8
Don't agree: 6
I don't know: 16
...
0
votes
1answer
49 views
OLS: why is it possible to get insignificant F-test but resonably high adjusted R-squared?
I am estimating an OLS regression with 158 observations and about 140 regressors (some unstructured data features to personality measure). Below is the bottom output I get from OLS. Some of the ...
0
votes
0answers
19 views
Permutation F test for nested models
How can I do a permutation F test for testing if a larger model which contains a larger model is better? e.g.
Model 1 : y ~ x1 + x2
Model 2 : ...
1
vote
2answers
41 views
I have an insignificant beta weight of a predictor, which the only predictor in a step with significant R-square change and significant F-value
I am running a hierarchichal multiple linear regression with 4 steps containing theoretically justifyable variables:
Outcome: pain rating
Step 1: demographic variables (age, gender)
Step 2: Pain ...
0
votes
1answer
30 views
Interpreting ANOVA f-test for model comparison
In the book ISLR, there's a lab activity which compares the nested models.
...
2
votes
1answer
44 views
What is the point of a permutation F-test when all you need is one F-test for one-way ANOVA?
Say you have three groups, and each group has 5 observations.
You can figure out if there is a significant difference between means with a simple one-way ANOVA.
I read in my nonparametric book, one ...
0
votes
1answer
40 views
What is the difference between the residual, lack of fit and pure error In F test for Regression Analysis?
What is the difference between the residual, lack of fit and pure error and how to calculate each of them in ANOVA F test for nonlinear regression?
1
vote
1answer
48 views
Is it possible to calculate F-value for a neural network regression model?
I trained a model using neural network regression and used the F-value equation that is used for calculating F-value for linear regression:
F=(SUM(Ypredicted-Ymean)^2/p)/(SUM(Ypredicted-Yobserved)^2/...
1
vote
0answers
38 views
F-test in multiple linear regression
I'm currently reading Introduction to statistical learning. When trying to prove the collective significance of a regression linear model, we use the F-test with the following formula.
$$F=\frac{(TSS-...
2
votes
1answer
24 views
Test for ratio of variances across multiple groups
I am looking for a statistical test for whether the ratio of variances vary significantly among groups. I have 100 groups, each with ~50 A individuals and ~50 B individuals (n varies somewhat between ...
1
vote
1answer
59 views
Alternative to Chow test in the case of heavy tailed residual distribution
I would like to check if two subpopulations of my data have the same parameters in a model. Model 1 is based on subpopulation 1 and Model 2 is based on subpopulation 2.
Model 1: $y=x^\alpha + \...
3
votes
0answers
17 views
F test fails but t-test does not? [duplicate]
I'm a bit confused about this.
I have a model with multiple variables trying to explain the dependent variable.
When I use the F test, I don't pass the critical value.
But when I seperate the ...
1
vote
1answer
72 views
Testing nested models with clustered errors
I have a simple linear model. $$Y_i = \beta_1X _{1i}+ \beta_2X_{2i}+\beta_3X_{3i}+\epsilon_i$$
I'd like to test if some of my model parameters ($\beta_2$ and $\beta_3$) are jointly different from ...
0
votes
0answers
34 views
How should one compute the p-values of a two sided F test?
I have been studying this link. However, i can't really figure out how to calculate the p value for a 2 sided F test where the degrees of freedom are different and the F distribution is asymmetric.
I ...
0
votes
0answers
88 views
What is the point in reporting the z statistic of a z-test?
In my field some authors report the z statistic of a z-test in a generalised linear model and others do not. Does reporting the z statistic serve any purpose if the p value of a z-test or of a post-...
0
votes
0answers
10 views
Can I mix and match F-test and T-test code when I implement a program for some statistical calculations?
I was told to rewrite an old java program that performs some statistical calculations. I was able to solve most of the problems until I ran into this one:
The program compares two sets of data over ...
6
votes
1answer
119 views
Comparison of variance between two samples with unequal sample size
The primary goal of my analysis is to compare the variability in the response variable, Blood Pressure, between sample1 and sample2. The secondary goal is to test for a difference in means. I do not ...
1
vote
0answers
39 views
Test the difference between average value of 2 random variables
I am doing an exercise on marketing analysis to determine the strategy that a brand should follow based on historical weekly data collected from supermarkets that sell the brand (let say brand1) and 4 ...
1
vote
0answers
22 views
Why is it possible to get insignificant F statistic (p>0.1) but significant regressor t-tests (p<0.1)? [duplicate]
My results show significant t-tests but an insignificant F-test. Is this possible or are my calculations wrong?
1
vote
0answers
70 views
Is this an appropriate way to compare simulated and measured data with small sample size, and are there alternatives?
I have a probably fairly basic question which I couldn't find an answer to on here or anywhere else. Would really appreciate any thoughts on this :)
I am modelling the propagation of sound through a ...
0
votes
0answers
16 views
Can an F-Test be worse than the two single T-Tests? [duplicate]
Normally when conducting an F-Test one is hoping the F-Test of all variables is significant although the single T-Tests yield insignificant results.
But can the reverse also be true? That is a worse ...
0
votes
0answers
46 views
I can perform an F-Test if Bartlett and Levene fail, but Shapiro-Wilk Pass?
I'm going through the assumptions on an F-test and I want to make sure I've gone through each item so that my results are valid.
Data is normally distributed;
The samples are independent from one ...
0
votes
0answers
144 views
Are these Granger-causality F-tests equivalent?
I am comparing results of a Granger causality implementation I wrote in Python to the established package statsmodels, and noticed that the equation implemented has a scaling factor equal to the ...
1
vote
0answers
43 views
Is the F-test (especially in stepwise regression context) problematic for huge datasets?
Let's say I have a huge dataset with 2000 observations. I want to test the significance of one predictor in a SLR Model. Then the F-statistic effectively becomes:
F = $\frac{\frac{\sum{(\hat{Y_i}-\...
2
votes
0answers
132 views
R - Testing for Granger causality when OLS assumption are violated
I am using the vars package to estimate a VAR-model. Since it seems, that the residuals of my model are neither homoscedastic or uncorrelated I computed Newey West ...
0
votes
0answers
50 views
Why do dummy regressors decrease sensitivity in linear regression?
For linear regression analysis, I thought that the addition of covariates which are not related to the dependent variable $Y$ does not decrease sensitivity. Such random/dummy regressors can be ...
1
vote
0answers
47 views
Stable seasonality F-test does not meet assumptions for one way ANOVA
I am having trouble to understand Stable seasonality F-test. I know it is basically the same test as one way ANOVA, but the assumptions for one way ANOVA can´t be met for it. For ANOVA the data should ...
3
votes
0answers
25 views
Can I use F test to compare linear and exponential model?
I have a data set consisting of crop biomass measurements ("response" variable) and corresponding spectral vegetation indices measurements (predictor variables). The measurements have been made on two ...
0
votes
0answers
25 views
Deriving the F-test from ${{SSE_R-SSE_F}\over{(n-q)-(n-p)}}/{{SSE_F}\over{n-p}}$
Given a Full and Reduced model, the F-test to see if the reduced model is significant is given by
$$
{{SSE_R-SSE_F}\over{(n-q)-(n-p)}}/{{SSE_F}\over{n-p}}
$$
I'm trying to understand how this is ...
2
votes
2answers
308 views
Why does it says data should be normally distributed for analysis, when different test follow its own distribution (i.e. t, Z, F)?
Why does it say data should be normally distributed for statistical analysis when different test follow its own distribution (i.e. t, Z, F)?
What does normality have to do with this?
1
vote
0answers
181 views
How does the f-classif in scikit-learn work?
Does it combine different features and calculate the F-value between them or does it does calculate the F-value for one feature?
If someone could point me to a source a book that explain this, that ...
0
votes
1answer
29 views
what we consider the significance if the F calculated value equal to F tabulated?
if for example, we define the significant level at P<0.05 and the F calculated was equal to F tabulated. now the question is does we consider it significant or not?
I did not find a refrence answer
1
vote
0answers
316 views
0
votes
2answers
390 views
Does the “Sig.” column in the SPSS output for ANOVA
The "Sig." column in SPSS output for t-test is a two-tailed p-value, i.e. if one want to decide whether to reject a null hypothesis, they need to compare the predetermined significant level with the "...
3
votes
1answer
138 views
Does F-test reflect the overfitting of a model from the inclusion of multiple regressors?
Does F-test for the overall significance of the OLS model reflect the overfitting from the inclusion of multiple regressors? For example, does the inclusion of noise as additional regressors to a ...
1
vote
0answers
59 views
One-sided test of equal variances with small (but equal) sample size and non-normal data
I have two groups, each with 6 observations. One group was generated by an old test method. The other group was generated by a new test method. I would like to test if the new method produces more ...
0
votes
1answer
33 views
Difference between f test and variance calculation
I was looking into ways to compare two datasets, how different are they in shape, spread, mean, variance etc and I come across the f test. If I understood correctly it uses the null hypothesis to ...
1
vote
0answers
273 views
F-test Stepwise regression
I have a question about F-test Stepwise regression.
https://en.wikipedia.org/wiki/F-test
Regression problems
When doing F-test stepwise regression,
F statistic is calculated as below.
The right side ...
2
votes
1answer
87 views
Link between the null hypothesis and test statistics in F-test
How are $H_0$ and $H_1$ linked to the F value in the following cases? I understand how each of $H_0$ and $H_1$ gets more likely depending on F-value, yet I was trying to find more of a mathematical ...
1
vote
0answers
30 views
Testing within-model equality of parameters — why the F-distribution? (and also a question about degrees of freedom)
Let me start out by saying I'm somewhat of a novice at statistics. I've had some formal training but it was rather patchy, and I'm aware I'm ignorant of many key concepts. I'm having to "learn on the ...
11
votes
4answers
494 views
What is the relationship between ANOVA to compare means of several groups and ANOVA to compare nested models?
I've so far seen ANOVA used in two ways:
First, in my introductory statistics text, ANOVA was introduced as a way to compare means of three or more groups, as an improvement over pairwise comparison, ...
2
votes
1answer
36 views
Which test do you suggest to use to catch the differences in paired sample
I must evaluate the goodness of an instrument according to the measures of the final products. I have two instruments: one good and the other one whose goodness I have to evaluate. The measures are ...
2
votes
1answer
35 views
Showing $F(1,v) = t^2(v)$ Using Charts
As the title states, I don't see how this is the case from the charts. I don't see how the F-ratio (with $1$ and $v$ d.f.) is equal to the square of the t-ratio (with $v$ d.f.).
Example:
Lets say we ...
0
votes
1answer
127 views
Are Chi-squared test and F-test both eligible for testing significance in ANOVA?
I was reading this article (Kim and Cohen, 2010 [1]), and realized that the authors used chi-square test to test the significance of two-way ANOVA on page 541 (1st paragraph of "Results and Discussion"...
2
votes
2answers
355 views
ANOVA's f-statistic
While reading this blog on f-statistic in ANOVA, I stumbled upon the formula:
The f-statistic is calculated like this: $$\frac{\text {variance
between groups}}{\text {variance within groups}}$$...
