Difference between revisions of "Manuals/calci/CONFIDENCE"

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<div style="font-size:30px">'''CONFIDENCE(a,sd,s)'''</div><br/>  
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<div style="font-size:30px">'''CONFIDENCE (Alpha,StandardDeviation,Size)'''</div><br/>  
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*<math>a</math>  is alpha value which is indicating the significance level.
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*<math>Alpha</math>  is alpha value which is indicating the significance level.
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*<math>sd</math> is the standard deviation.
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*<math>StandardDeviation</math> is the value of the standard deviation.
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*<math>s</math> is the size of the sample.
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*<math>Size</math> is the size of the sample.
  
  
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*It equals <math>100*(1-alpha)%</math>, or alpha of 0.05 indicates a 95 percent confidence level.
 
*It equals <math>100*(1-alpha)%</math>, or alpha of 0.05 indicates a 95 percent confidence level.
 
*This value is <math> \pm </math> 1.96
 
*This value is <math> \pm </math> 1.96
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*<math> sd </math> is the standard deviation of the population for the data range.
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*<math> StandardDeviation </math> is the standard deviation of the population for the data range.
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*<math> s </math> is the size of the sample.
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*<math> Size </math> is the size of the sample.
 
*Confidence interval is calculated using the following formula:  
 
*Confidence interval is calculated using the following formula:  
 
     <math>Confidence interval = sample statistic + Margin of error</math>.  
 
     <math>Confidence interval = sample statistic + Margin of error</math>.  
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*This function will give the result as error when  
 
*This function will give the result as error when  
 
   1. Any one of the argument is nonnumeric.  
 
   1. Any one of the argument is nonnumeric.  
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   2.Suppose <math>0\le alpha\le1 </math>
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   2.Suppose <math>0\le Alpha\le1 </math>
 
   3. value of s is less than 1.
 
   3. value of s is less than 1.
 
*Suppose with the population of 10 for the standard deviation 3.2, with the alpha value 0.2 then, CONFIDENCE(0.2,3.2,10) =1.296839.  
 
*Suppose with the population of 10 for the standard deviation 3.2, with the alpha value 0.2 then, CONFIDENCE(0.2,3.2,10) =1.296839.  
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*The syntax is to calculate CONFIDENCE in ZOS is <math>CONFIDENCE (Alpha,StandardDeviation,Size)</math>.
 
*The syntax is to calculate CONFIDENCE in ZOS is <math>CONFIDENCE (Alpha,StandardDeviation,Size)</math>.
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**<math>alpha</math>  is  value of the significance level.
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**<math>Alpha</math>  is  value of the significance level.
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*<math>size</math> is the size of the sample.
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*<math>Size</math> is the size of the sample.
 
*For e.g., CONFIDENCE(0.2,3.1,20)  
 
*For e.g., CONFIDENCE(0.2,3.1,20)  
 
*CONFIDENCE(0.67,8.3..10.3,51)
 
*CONFIDENCE(0.67,8.3..10.3,51)

Revision as of 15:15, 5 June 2018

CONFIDENCE (Alpha,StandardDeviation,Size)


  • 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 alpha value which is indicating the significance level.
  • 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 StandardDeviation} is the value of the standard deviation.
  • 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 Size} is the size of the sample.


Description

  • This function gives value of the confidence intervals.
  • Confidence intervals are calculated based on the standard error of a measurement.
  • It is measures the probability that a population parameter will fall between lower bound and upper bound of the values.
  • There are four steps to constructing a confidence interval.
   1. Identify a sample statistic.
   2. Select a confidence level. 
   3. Find the margin of error.
   4. Specify the confidence interval.
  • Normally once standard error value is calculated, the confidence interval is determined by multiplying the standard error by a constant that reflects the level of significance desired, based on the normal 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 CONFIDENCE(a,sd,s)} , 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 a} is the alpha value which is indicating the significance level used to find the value of the confidence level.
  • It equals 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 100*(1-alpha)%} , or alpha of 0.05 indicates a 95 percent confidence level.
  • This value is 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 \pm } 1.96
  • 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 StandardDeviation } is the standard deviation of the population for the data range.
  • 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 Size } is the size of the sample.
  • Confidence interval is calculated using the following formula:
    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 Confidence interval = sample statistic + Margin of error}
.
  • So 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 confidence interval =\bar{x}\pm 1.96(\frac{\sigma}{\sqrt {s}})}
  • where 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 \bar{x}} is the sample mean,sigma is the standard deviation.
  • This function will give the result as error when
 1. Any one of the argument is nonnumeric. 
 2.Suppose 
 3. value of s is less than 1.
  • Suppose with the population of 10 for the standard deviation 3.2, with the alpha value 0.2 then, CONFIDENCE(0.2,3.2,10) =1.296839.
  • So the Confidence interval value is 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 10\pm 1.296839= approximately[11.29,8.70]} .


ZOS

  • The syntax is to calculate CONFIDENCE in ZOS is 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 CONFIDENCE (Alpha,StandardDeviation,Size)} .
    • 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 value of the significance level.
  • 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 Size} is the size of the sample.
  • For e.g., CONFIDENCE(0.2,3.1,20)
  • CONFIDENCE(0.67,8.3..10.3,51)

Examples

  1. =CONFIDENCE(0.6,4.6,20) = 0.539393789
  2. =CONFIDENCE(0.09,8.1,25) = 2.746544290
  3. =CONFIDENCE(0.001,18.8,50) = 8.74859415


Related Videos

CONFIDENCE

See Also


References

CONFIDENCE


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