Hypothesis testing assesses whether data support a given hypothesis rather than being an effect of random fluctuations or some other process described by an alternative hypothesis.

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Difference between expected spending and spending observed. What kind of statistical analysis should I apply?

I would like some advice from you about what kind of statistical analysis I could do about that data. My case is as follows: According to a research I have the information that the financial health ...
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0answers
10 views

MLE based Hypothesis test

I am studying a linear regression modeling class and am given the following problem:- Three new machines (labeled B, C, D) are compared to the old machine (labeled A) on a response variable $y$. The ...
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17 views

Bernoulli hypothesis test where null hypothesis is that $p$ does not equal $p_0$

I am trying to find a test, that tests if a random variable $X$ is Bernoulli distributed with $p=p_0$. However I want the hypotheses to be $H_0$:$ p \neq p_0 $ against $H_1: p = p_0$.
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9 views

TOST for equivalence test

Let's say that we are measure the tracking position error of two controllers and we want to know if both controllers are similar (we already perform a "differences" test but we are requested to ...
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10 views

Similarity between two large vector

I have a two large/long vectors which I try to calculate the similarity between them. First vector: Length of the vector nearly: ~990 < ["RAB31", 25], ["SNAP25", 34], ["PCK2", 34], ["HMGCR", ...
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1answer
15 views

Combine multiple independent permutation tests

I want to find out whether a neural measure measured at 12 time-points is correlated with a behavioral measure measured on the same time-points. I have data from 20 subjects. I'm hoping to perform a ...
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0answers
10 views

Which statistical analysis test should I use for my study? [on hold]

I am doing a research proposal (not actually performing the study, just writing as if I was). My research question is 'how does the publics perception of satanists impact the mental health of ...
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9 views

Test for difference in a set of post hoc tests

I have calibrated an classifier with different sources of training data and I want to evaluate its performance with several data sets. I plan to use the Friedman test and post hoc Nemenyi tests to ...
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16 views

Determine significance of an observed continuous distribution given many randomly generated continuous distributions

Suppose there is a vector, v, that contains the body height of every person over 30 years old on earth. It looks something like this: ...
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1answer
26 views

Fisher's combined test vs testing uniform distribution of p-values

In testing a global null hypothesis, with independent tests, the p-values are distributed as $U(0,1)$. There are many goodness-of-fit tests to check that the distribution is uniform. For example, this ...
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9 views

Hypothesis testing to discriminate between two renewal processes

We have time [0,T] to observe a renewal point process, where the inter-renewal timings are i.i.d, and then decide whether the observation is according to a renewal process in which the pdf of ...
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1answer
25 views

Are parametric tests on rank transformed data equivalent to non-parametric test on raw data?

Many non-parametric tests are identical to their parametric equivalent on ranked data. At least, that's what I learned from this blog post on Friedman's test and skimming this 1981 article.. This ...
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7 views

One sample test or 2 sample test [on hold]

Pepsi is marketing, too see which one people like better coke or Pepsi. we know there are 19 people, and 11 choose Pepsi and 8 choose Coke Initial hypothesis is qp=.5 and alternative is 9 is not ...
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0answers
3 views

Interpreting pvalue by confronting the observed difference with the expected one (minimum clinically important difference (MCID))

Let's say I study the association between a dichotomic variable (a treatment) and a quantitative one, which is my primary endpoint Let's say I know the minimum clinically important difference ...
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0answers
6 views

Test for actual realisations

I'm performing binomial test to check whether the number of occurrences within buckets are not greater than 95%. I'm using R for that. ...
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0answers
16 views

Statistical test to determine which system more accurately describes a trend

I have a known variable, for example a trend of heart rate, and two systems (A, & B) who sample this variable the same number of times but at different, unequal intervals. For example, system A ...
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0answers
13 views

Statistical test for relationships when many samples are unknown

I'm fairly new to statistics - I'm sure this is a basic question but my google searching is failing me. Happy to just be pointed to other reading. I have 3 datasets of varying sizes (N1 ~ 200,000, N2 ...
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16 views

Calculating p-value based on Chi-Square vs Z-Test incl Standard Error

I have been testing the significance levels for my various a/b tests. Degree of freedom is 1 so there's not a lot of complications here. So far I've been calculating my results using Chi-Squared ...
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9 views

Analyzing groups across time points in GraphPad

I have a dataset consisting of measurements of the level of 28 biomarkers for each of 25 people at 7 time points (4900 measurements in all, minus a few blanks). Each person is in a certain group ...
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14 views

Do two test statistics at the same $\alpha$ value give the same TYPE 1 error rate and same decision?

Do two test statistics at the same $\alpha$ value give the same TYPE 1 error rate and same decision? I think it is clear that they do give the same TYPE 1 error rate by definition, but do they always ...
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0answers
11 views

Confidence interval for fitted lambda from Possion distrubtion

So my question is: you are given a set of data and you know the distribution is Possion with parameter lamda > 0. I figure out xbar is 4.06, and the z value we are using is 1.96 and n=50? But how can ...
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0answers
11 views

What is the method to find difference in mean of test and control population where data were collected for a marketing campaign?

What is the method to find difference in the response rate of test and control populations in SAS where data were collected for a marketing campaign? (10-20% were control, and the rest were the test ...
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30 views

Can an independent t-test be used on paired data when the pairing is unknown?

Suppose the effectiveness of a training course is examined, and performance of each individual in a group is taken both before and after, and the differences are compared in a paired $t$-test. Would ...
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1answer
24 views

One side tests for example monte carlo

I looked at R for Spatial Statistics (spatstat) and I actually found out that it doesn't always have to be that below -1.96 is necessarily clustered and that above 1.96 must be uniformed. There is ...
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1answer
14 views

Rao's Score/Lagrange Multiplier Test most powerful when $\theta$ close to $\theta_0$?

I was reading over the documentation for the Rao's Score/Lagrange Multiplier Test on wikipedia and ran across this: Rao's score test is a statistical test of a simple null hypothesis that a ...
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2answers
57 views

Point null hypothesis in Bayesian statistics

Let $X\sim N(\theta,1)$ and consider 5 independent observations $X=(4.9,5.6,5.1,4.6,3.6)$. The prior probability that $\theta=4.01$ is $0.5$. The remain values of $\theta$ are given a prior ...
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1answer
10 views

Checking if an Error Type Occurred After Running A Hypotheis Test - Split (A/B) Test

When doing Split (A/B) Testing, or really any other Statistical Hypothesis test for that matter, there is always some chance of committing a Type 1 or Type 2 error. I am wondering if there are any ...
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22 views

Two versions of the Breusch-Pagan test?

I have learned (and it is the case for instance in Woolridge's Introductory Econometrics) that for testing heteroskedasticity with the BP test, the sample statistic is $nR^2_{\hat{u}^2}$, that follows ...
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1answer
48 views

Which statistical test to use

I have a table containing, for each patient, the count of synonymous and non-synonymous mutations in primary vs metastasis (total 20 patients) like the following. 1P 1M 2P 2M 3P 3M 4P 4M ... ...
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t-ratio distribution: performing tests using the tables in Press(1969)

I obtained some t-statistics ($t_{1}$, $t_2$, $t_3$, and $t_{4}$) from a couple of OLS regressions. I want to perform tests on the variables $s_a=\frac{t_1}{t_2}$ and $s_b=\frac{t_3}{t_4}$. The ...
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1answer
48 views

Why does SPSS give different p-values in the factorial ANOVA table and the Parameter Estimates table?

I ran a 2x2 ANOVA in which I predicted anxiety from two binary predictors (gender and agegroup). I couldn't understand why the p-values in the Tests of Between-Subjects Effects table did not ...
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29 views

Breusch–Godfrey test under heteroskedasticity

Do I need to account for heteroskedasticity when performing the (vector) AR1-2 test? The Autocorrelation (AR) 1-2 test is defined as follows - often reffered to as the Breusch–Godfrey test (Wiki ...
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2answers
38 views

How to interpret R Pearson's correlation test?

I am trying to learn a bit of R and statistics so as "toy project" I have started from the famous Iris dataset (150 rows, 3 classes). I have applied to two features the "correlation test" in this way: ...
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22 views

Significance testing between two hyperbolic curves

I have two curves for biological data (one-site binding). These curves were both fit using the following (Michaelis-Menten) model: BRET2 = (Bmax * RFU_RLU)/(Kd + RFU_RLU) Note: (x,y) here is ...
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19 views

Calculating Tukey HSD for a subset of comparisons - can I do this?

A colleague has about 50 samples, each with 2 conditions (treated and non-treated). The data is continuous and normal, and there are 3 data points in each sample-treatment combination. They'd like to ...
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13 views

Non Parametric test for ranked data

I am working on a project on multi criteria decision modelling. The technique applied (Analytical Hierarchy Process) provides me with data in the form of normalised weights (sum=1) to a set of ...
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2answers
82 views

Robustness of correlation test to non-normality

I'm trying to reconcile two seemingly opposite statements about robustness to non-normality of the Pearson's correlation test statistic (where the null means "no correlation"). This CV answer says: ...
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0answers
13 views

Combine Results of One- and Two-Tail Tests? [closed]

Can you combine the results of a One- and Two-Tail tests for the SAME sample to draw an inference about population parameter? One-Tail Test: Ho: p ≥ 90% Ha: p < 90% P-value: 0.514 > α .05 ...
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26 views

How to say “the statistical significance of our result is stronger”?

I'm doing a Bonferroni correction, after which our result is still significant at the 10% level. Since my multiple outcomes are highly correlated, for which the Bonferroni is too conservative, I want ...
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0answers
11 views

Performing two-sided F-Test [duplicate]

Due to the asymmetry of both the Chi-Square and F distributions, is it still possible to perform a two-sided test? From this answer it seems that you can only ever perform a one-sided Chi-Square test: ...
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42 views

Bayes factor and hypothesis test in Bayesian inference

Let $$\pi_0=P(\theta\in\Theta_0)=\int_{\Theta_0}\pi(\theta)d\theta$$ $$\pi_1=P(\theta\in\Theta_1)=\int_{\Theta_1}\pi(\theta)d\theta$$ $$a_0=P(\theta\in \Theta_0|x)$$ $$a_1=P(\theta\in \Theta_1|x)$$ ...
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24 views

Correlation test over time

For my research I want to test whether the influence that certain variables have on compensation, have changed over time. The influence of this variables are measured by looking at the correlation. ...
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0answers
4 views

How to test moderation of categorical IV continuous DV when moderator is continuous

Good morning all. I want to test the moderation effect of 2 DIFFERENT continuous moderators for the following 2 scenarios: Scenario 1 IV1 (Partnership): Nominal scale (No/Yes) IV2 (Density): ...
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0answers
6 views

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol for the indicated parameter [closed]

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is at least 2 in every one thousand. please help me!!
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Is it valid to combine multiple columns for t testing when n is small?

I have measured one variable from 6 different samples each in three different patients. The 6 samples come three apiece from two different anatomic sites (blood and gut). I would have liked to use ...
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15 views

Generalized method of moments (GMM): testing equality of parameters across subsamples

I estimate parameters of a panel data model with GMM using Stata. I specify the variance-covariance matrix assuming that the observations are correlated in the same period of time (...
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19 views

find the distribution of the test statistic

The question is as follows: Suppose we are given a set of parameters $\theta_i$ for $i \in \{1...n\}$ and n is a finite number. Given data $D$, find the parameter that maximizes a likelihood $L(D | ...
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17 views

One-sided Fisher's?

Please could someone explain what the 'one-sided' bit means on my stata output in a Fisher's exact test? Is it the p value that there is no observable difference between the two groups?
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1answer
137 views

Test for whether two data sets are significantly different

There are 1400 red snails, 800 blue snails, and 500 green snails. There are three parks: Park A, Park B and Park C I find that - 800 red snails live in Park A , 200 red snails live in Park B and 400 ...
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0answers
10 views

What are the recent observations indicating?

The financial model I am using has 348 months of data.The prior 312 months have a mean return of .94% with a Standard Deviation of 1.68%.The most recent 36 months have a mean return of .81% and an StD ...