Difference between revisions of "Manuals/calci/CRITBINOM"
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*<math>alpha</math> is the criterion value. | *<math>alpha</math> is the criterion value. | ||
==Description== | ==Description== | ||
| − | *This function gives the smallest value for which the | + | *This function gives the smallest value for which the Cumulative Binomial Distribution is a specified probability. |
*This function is the inverse of the Cumulative Binomial Distribution. | *This function is the inverse of the Cumulative Binomial Distribution. | ||
*For example, the Critbinom function could be used to find the smallest number of through the dice for which there is a 40% chance of at least 10 six's. | *For example, the Critbinom function could be used to find the smallest number of through the dice for which there is a 40% chance of at least 10 six's. | ||
| − | *In CRITBINOM(ts,ps,alpha) ,ts is the number of independent trials that are to be done( | + | *In CRITBINOM(ts,ps,alpha), <math>ts</math> is the number of independent trials that are to be done(if <math>ts</math> value is in decimal then it is converted in to integer) ,<math>ps</math>is the probability of success in one trial and <math>alpha</math> is the criterion value of the Cumulative Binomial Distribution (must be between 0 and 1). |
*This function gives the result as error when | *This function gives the result as error when | ||
| − | + | 1.Any one of the argument is non-numeric. | |
| − | + | 2.<math>ts<0</math>,or <math>ps<0</math> or <math>ps>1</math> | |
| − | + | 3.<math>alpha<0</math> or <math>alpha>1</math> | |
==Examples== | ==Examples== | ||
Revision as of 02:30, 10 December 2013
CRITBINOM(ts,ps,alpha)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ts} is the number of independent trials.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ps} is the probability of success in one trial.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha} is the criterion value.
Description
- This function gives the smallest value for which the Cumulative Binomial Distribution is a specified probability.
- This function is the inverse of the Cumulative Binomial Distribution.
- For example, the Critbinom function could be used to find the smallest number of through the dice for which there is a 40% chance of at least 10 six's.
- In CRITBINOM(ts,ps,alpha), Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ts} is the number of independent trials that are to be done(if Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ts} value is in decimal then it is converted in to integer) ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ps} is the probability of success in one trial and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha} is the criterion value of the Cumulative Binomial Distribution (must be between 0 and 1).
- This function gives the result as error when
1.Any one of the argument is non-numeric. 2.,or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ps<0} or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ps>1} 3.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha<0} or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha>1}
,or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ps<0}
or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ps>1}
3.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha<0}
or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha>1}
Examples
- CRITBINOM(5,0.6,0.4)=3
- CRITBINOM(8,0.1,0.25)=1
- CRITBINOM(20,0.75,0.65)=16
- CRITBINOM(20,1,1.5)=NAN
- CRITBINOM(9.5,0.4,0.35)=3
- CRITBINOM(12,-0.25,0.3)=NAN