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15 Cards in this Set

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Percent Error/Percent Difference

PE/PD= |(expected - actual)/expected|×100

Count Rate

CR = counts/time

Net Counts

NC = Gross Counts - Background Counts

Net Count Rate

NCR = (gross counts - background counts)/time

Mean

mean = ∑n / N




N = total number of values


n = individual values


∑ = Summation

Median

Middle value of the series once arranged in numerical order




or




Median = (mid value₁ + mid value₂) / 2

Mode

Most frequently occurring number




If two or three then series is bimodal or trimodal

Standard Deviation of Population or Series of Values

SD = √(∑(n - mean of values)² / N - 1)

Standard Deviation From a Single Value

SD = √x

Standard Deviation From a Single Value at a Desired Confidence Interval

CI% = n ± x√n




% = 68%, 95%, 99% and x is respectively = 1, 2, 3

Percent Error/Coefficient of Variation for a Series of Values

CV = (xSD / mean) × 100%




x = Number of Standard Deviations

Error Inherent in a Single Value

%SD = (x100% / √N)




x = Number of Standard Deviations


N = Single Value


Solving for %SD

Determination of Counts Required for Statistical Significance

%Error = (x100% / √N)




x = Number of Standard Deviations


N = Minimum Counts


Solving for N

Standard Deviation of a Count Rate

xSD = √(c / t)




x = Number of Standard Deviations

Standard Deviation of a Sum or Difference (aka Propagation of Errors)

SD = √N₁ + N₂