Can P Value Be More Than 1?

by | Last updated on January 24, 2024

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Can P value be more than 1? As the answer explains, P-values are probabilities and so

cannot exceed 1

, so whatever argument you had in mind was fallacious.

What does it mean if the p-value is more than 1?

It is a probability and, as a probability, it ranges from 0-1.0 and cannot exceed one. A p-value higher than one would mean

a probability greater than 100%

and this can’t occur.

Are p-values less than 1?

The level of statistical significance is often expressed as a p-value

between 0 and 1

. The smaller the p-value, the stronger the evidence that you should reject the null hypothesis.

Is p-value of 1 possible?

Being a probability, P can take any value between 0 and

1

. Values close to 0 indicate that the observed difference is unlikely to be due to chance, whereas

a P value close to 1 suggests no difference between the groups other than due to chance

.

What does it mean to have a P value of 1?

When the data is perfectly described by the resticted model,

the probability to get data that is less well described

is 1. For instance, if the sample means in two groups are identical, the p-values of a t-test is 1.

What does a significance of 1 mean?

To find the significance level, subtract the number shown from one. For example, a value of “. 01” means that

there is a 99% (1-. 01=. 99) chance of it being true

.

Can p-value be less than 0?

In reality,

p value can never be zero

. Any data collected for some study are certain to be suffered from error at least due to chance (random) cause. Accordingly, for any set of data, it is certain not to obtain “0” p value. However, p value can be very small in some cases.

Is p 0.0001 statistically significant?

These numbers can give a false sense of security. Most authors refer to statistically significant as P < 0.05 and

statistically highly significant

as P < 0.001 (less than one in a thousand chance of being wrong).

Is p 0.01 statistically significant?

The degree of statistical significance generally varies depending on the level of significance. For example, a p-value that is more than 0.05 is considered statistically significant while

a figure that is less than 0.01 is viewed as highly statistically significant

.

Is .001 statistically significant?


If the p-value is under . 01, results are considered statistically significant

and if it’s below . 005 they are considered highly statistically significant.

What is acceptable p-value statistics?

A p-value

less than 0.05

is typically considered to be statistically significant, in which case the null hypothesis should be rejected. A p-value greater than 0.05 means that deviation from the null hypothesis is not statistically significant, and the null hypothesis is not rejected.

What is a large p-value?

A large p-value means that

your data is consistent with the null hypothesis

, i.e. the data is not that unusual given that all your assumptions + assuming the null hypothesis were correct.

What does p-value of 0.9 mean?

If P(real) = 0.9,

there is only a 10% chance that the null hypothesis is true at the outset

. Consequently, the probability of rejecting a true null at the conclusion of the test must be less than 10%.

Can you have a negative p-value?

By axioms of probability

p-value should not be negative being a probability

. It is clear that your algorithm may be erroneous. Use any software for your calculation and compare the results.

What if p-value is less than alpha?

The p-value measures the probability of getting a more extreme value than the one you got from the experiment. If the p-value is greater than alpha, you accept the null hypothesis. If it is less than alpha, you

reject the null hypothesis

.

Is 0.006 statistically significant?

A statistically significant difference is not necessarily one that is of clinical significance. In the above example,

the statistically significant effect (p = 0.006) is also clinically significant

as even a modest improvement in survival is important.

Is 0.051 statistically significant?

But P values of 0.051 and 0.049 should be interpreted similarly despite the fact that the 0.051 is greater than 0.05 and is therefore

not “significant”

and that the 0.049 is less than 0.05 and thus is “significant.” Reporting actual P values avoids this problem of interpretation.

Is 0.009 statistically significant?

The resulting p value was 0.009. Because this value is small, he concluded that Explanation 1 (“it’s all just chance and random variability”) was not appropriate, and that the result was “statistically significant”.

This is a standard statistical procedure, very commonly used.

What does p-value of 0.08 mean?

A p-value of 0.08 being more than the benchmark of 0.05 indicates

non-significance of the test

. This means that the null hypothesis cannot be rejected.

What does p-value of .02 mean?

The significance test yields a p-value that gives the likelihood of the study effect, given that the null hypothesis is true. For example, a p-value of . 02 means that,

assuming that the treatment has no effect, and given the sample size, an effect as large as the observed effect would be seen in only 2% of studies

.

Is p-value of 0.1 significant?

The smaller the p-value, the stronger the evidence for rejecting the H

0

. This leads to the guidelines of p < 0.001 indicating very strong evidence against H

0

, p < 0.01 strong evidence, p < 0.05 moderate evidence, p < 0.1 weak evidence or a trend, and

p ≥ 0.1 indicating insufficient evidence

[1].

Is 0.002 statistically significant?

Let the P-value of a certain test statistic is 0.002 then it means that

the probability of committing a type-I error (making a wrong decision) is about 0.2 percent

, which is only about 2 in 1,000.

Is .011 statistically significant?

In most studies,

a p value of 0.05 or less is considered statistically significant

, but this threshold can also be set higher or lower.

Is 0.07 statistically significant?

a certain trend toward significance (p=0.08) approached the

borderline of significance

(p=0.07) at the margin of statistical significance (p<0.07) close to being statistically significant (p=0.055)

What does p-value 0.5 mean?

Similarly, a p value of 0.5 means that

there is 5% chance that the results are due to random chance

. Lower p values show more certainty in the result. To make a decision based on p values, we need to set a confidence level which indicates how sure we want to be of the results.

Is p-value of 0.003 significant?

Important in medical research,

p values less than 0.05 are often reported as statistically significant

as we want there to be only a 5% or less probability that the treatment results, risk factor, or diagnostic results could be due to chance alone.

How do you know if p-value is significant?

The p-value can be perceived as an oracle that judges our results.

If the p-value is 0.05 or lower, the result is trumpeted as significant

, but if it is higher than 0.05, the result is non-significant and tends to be passed over in silence.

What is a Type 1 error in statistics?

A type I error (false-positive)

occurs if an investigator rejects a null hypothesis that is actually true in the population

; a type II error (false-negative) occurs if the investigator fails to reject a null hypothesis that is actually false in the population.

What does p-value less than 0.05 mean?

Amira Khan
Author
Amira Khan
Amira Khan is a philosopher and scholar of religion with a Ph.D. in philosophy and theology. Amira's expertise includes the history of philosophy and religion, ethics, and the philosophy of science. She is passionate about helping readers navigate complex philosophical and religious concepts in a clear and accessible way.