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If events A and B are statistically indepnedent, then the conditional probability of A, given that B has occurred is the same as the unconditional probability of A. In symbolic terms,

Prob(A|B) = Prob(A).

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How is the power of a statistical test defined?

The power of a statistical test is defined as being a probability that a test will product a result that is significantly different. It can be defined as equaling the probability of rejecting the null hypothesis.


What is the symbol for probability of success in a binomial trial?

The symbol for probability of success in a binomial trial is the letter p. It is the symbol used for probability in all statistical testing.


What is the power of a statistical test?

The power of a statistical test is the probability that the test will reject the null hypothesis when it is, in fact, false. Please see the link.


What is the relationship between statistical inference and probability theory and how do I support it with examples?

Probability theory is the field of mathematics that enables statistical inferences to be made. All equations used in statistical inferences must be based on mathematics (theorems and proofs) of probability theory. An example to illustrate this. Given a normal probability curve with a mean = 0 and variance of 1, 68% of the area under the curve is in the range of -1 to 1, as calculated from probability theory. Since it is proved by mathematics, we can state it as a fact. If we collect data, and the average of the data is zero, and the standard deviation is 1, then we can infer that we are 68% certain that the population mean lies between -1 to 1. Our conclusion is inferred based on our limited and imperfect sample and the assumption that our population is normally distributed.


What to do when a continuous probability is used to approximate a discrete probability distribution?

You may need to make a continuity correction - see statistical text books for details.

Related Questions

What statement about the relationship between statistical power and statistical probability is true?

They are both concepts of a branch of mathematics that is called statistics.


What does comparing probability?

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What is the purpose of probability distribution?

A probability distribution links the probability of an outcome in a statistical experiment with the chances of it happening. Probability distributions are often used in statistical analysis.


What is the purpose of distributing?

A probability distribution links the probability of an outcome in a statistical experiment with the chances of it happening. Probability distributions are often used in statistical analysis.


What is the significance of conditional analysis in statistical research methodologies?

Conditional analysis is important in statistical research because it allows researchers to examine the relationship between variables while controlling for other factors. This helps to identify the specific impact of a particular variable on the outcome of interest, leading to more accurate and reliable results in research studies.


A group's reported are more likely to become equal to the statistical probability of loss?

the larger the group, the more likely the statistical probability of loss will be equal


How is the power of a statistical test defined?

The power of a statistical test is defined as being a probability that a test will product a result that is significantly different. It can be defined as equaling the probability of rejecting the null hypothesis.


What is the probability of 94 dodge caravan vapor locking?

Probability is a very specific statistical phenomena. It's not possible to give a probability for this occurance.


What is partial independence?

Partial independence refers to a statistical relationship where two random variables are independent under certain conditions or given specific information, but not universally independent. This concept is often applied in fields like probability theory and machine learning, where the relationship between variables may change based on the context or additional variables. For example, two variables might be independent when conditioned on a third variable, indicating a more nuanced understanding of their interactions.


What is the symbol for probability of success in a binomial trial?

The symbol for probability of success in a binomial trial is the letter p. It is the symbol used for probability in all statistical testing.


What are beta values?

The probability that a statistical that will give give a false negative error.


With a technically proper random probability sample statistical errors can be eliminated?

false

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