Manuals/calci/TINV

TINV(prob,df)

• 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 prob } is the probability value for the two tailed t-distribution.
• 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 df } is the degrees of freedom.

Description

• This function gives the t value of the t-distribution.
• This function is called the inverse function of the t-distribution.
• In 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 TINV(prob,df), prob } is the probability value related with the two tailed distribution 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 df } is the number of degrees of freedom which is characterize the distribution.
• i.e., This function is the inverse value of 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 TDIST(x,df,2)} .
• Suppose we want to find the inverse value os one tailed distribution, then we have to multiply 2 with the prob value.
• For e.g., TINV(0.078,20)=1.857683 which is the inverse value of two tailed t-distribution.
• TINV(2*0.078,20)=1.474181542 which is the inverse value of one tailed t-distribution.
• Suppose df value is decimal then it is converted in to integers.
• 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 TDIST(x,df,t)=prob } , then 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 TINV(prob,df)=x} for the two tailed t-distribution.
• $TINV$ using the iterating method to find the value of 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 x } .
• Suppose the iteration has not converged after 100 searches, then the function gives the error result.
• This function will give the result as error when

    1.Any one of the argument is nonnumeric. 
    2.prob<0 or prob>1 or df<1.

Examples

1. TINV(0.0742,55)=1.820015422
2. TINV(2*0.0371,55)=1.820015422
3. TINV(0.65482,29) = 0.451735616
4. TINV(0.5,5)=0.726686844

See Also

• TTEST
• TDIST