How many counts should be acquired into each pixel of a nuclear medicine flood image if it is desired to be 95% confident that the true count in each pixel is within 1% of the measured counts in each pixel?

Question

Quizplus · Accepted Answer

Counting statistics, besides being Poisson, are also described by a Gaussian distribution as long as the number of counts is greater than about 30.Hence, given some number of counts C, the standard deviation is automatically known.It is also known that 68% of repeat measures of the sample fall within C ± 11ea6816_3f22_1983_b611_ed59821343cb_TB6242_11 and 95% of repeat measures of the sample fall within C ± 11ea6816_3f22_1984_b611_59e42089efcc_TB6242_11 and so on (95% confidence = C ± 2F1F1F1S1F1F1F10_c = C ± 11ea6816_3f22_4095_b611_b546d287bdc5_TB6242_11 ). Sometimes this type of problem is expressed by saying that a certain number of counts are needed to be 95% confident that the true count is within 2% of the measured value.The presence of two different percentage values can seem confusing.The 95% confidence interval on 10,000 counts is ±200 counts, and this figure of 200 counts represents 2% of 10,000 counts.The general formula expressing the number of counts needed to be "nF1F1F1S1F1F1F10" sure that the true answer is within some percent (p) of the measured counts is given by: 11ea6816_3f22_4096_b611_0df2c8f1264a_TB6242_11 In this formula, n is replaced with a 1 for 68% confidence, a 2 for 95% confidence, and a 3 for 99% confidence.

How Many Counts Should Be Acquired into Each Pixel of a Nuclear