To calculate the continuity correction factor, follow the below steps:
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The continuity Correction Calculator is used to check how to restate a binomial probability problem by applying normal distribution to approximate a binomial distribution.
In statistics, continuity correction is used to approximate a discrete probability distribution. It is used to change a discrete random variable into a continuous random variable.
Generally, “0.5” is added and subtracted for the continuity correction from the discrete value.
In this section, the statistical examples are given to understand the method of finding the continuity correction factor:
Example 1:
Calculate the continuity correction factor if the number of successes is 75 out of 105 trials and the probability of success is 0.65.
Solution:
Step 1: Extract the data
Number of trials = N = 105
Number of successes = n = 75
Probability of success = p = 0.65
Step 2: Draw a table
Using binomial distribution | Continuity correction | Approximated probability |
P (x = 75) | P (74.5 < x < 75.5) | 0.9329 − 0.9008 = 0.0321 |
P (x 75) | P (x < 75.5) | 0.9329 |
P (x < 75) | P (x < 74.5) | 0.9008 |
P (x 75) | P (x > 74.5) | 1 - 0.9008 = 0.0992 |
P (x > 75) | P (x > 75.5) | 1 - 0.9329 = 0.0671 |
Example 2:
Calculate the continuity correction factor if the number of successes is 64, the number of trials is 98, and the probability of success is 0.65.
Solution:
Step 1: Extract the data
Number of trials = N = 98
Number of successes = n = 64
Probability of success = p = 0.65
Step 2: Draw a table
Using binomial distribution | Continuity correction | Approximated probability |
P (x = 64) | P (63.5 < x < 64.5) | 0.5631 − 0.4789 = 0.0842 |
P (x ≤ 64) | P (x < 64.5) | 0.5631 |
P (x < 64) | P (x < 63.5) | 0.4789 |
P (x ≥ 64) | P (x > 63.5) | 1 − 0.4789 = 0.5211 |
P (x > 64) | P (x > 64.5) | 1 − 0.5631 = 0.4369 |
What is continuity correction? | Statistics How To.
Continuity correction factor | cs.uni.edu
Overview to Continuity correction | Oxford Reference.
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