Physics and Engineering of Radiation Detection

556 Chapter 9. Essential Statistics for Data Analysis our task is to find their best values. By best values we mean the ones for ...

9.7. Regression 557 combination of these, or some other function. There are different techniques available to handle the nonline ...

558 Chapter 9. Essential Statistics for Data Analysis We are required to obtain equations that can be solved to determine the th ...

9.8. Correlation 559 9.8.A PearsonrorSimpleLinearCorrelation In essence, the simple linear correlation determines the extent of ...

560 Chapter 9. Essential Statistics for Data Analysis Example: The following data are obtained in an experiment. x={102, 154, 20 ...

9.9. Time Series Analysis 561 Table 9.8.1: Parameters to compute the correlation coefficient for the example above. The last row ...

562 Chapter 9. Essential Statistics for Data Analysis 9.9.A Smoothing As the name suggests, smoothing refers to getting rid of s ...

9.10. Frequency Domain Analysis 563 Fig.9.9.1 also shows the result of moving averages for 3-point subsets of data. It is eviden ...

564 Chapter 9. Essential Statistics for Data Analysis data, which generally can not be represented in a functional form, it is n ...

9.11. Counting Statistics 565 9.11CountingStatistics............................ Detection of single events is perhaps the most ...

566 Chapter 9. Essential Statistics for Data Analysis This statement needs some clarification, though. What we are assuming here ...

9.11. Counting Statistics 567 If we consider only the counts in the region of interestNi, then the error in mea- surement will b ...

568 Chapter 9. Essential Statistics for Data Analysis Since it is not a requirement thatFWTMbe used to define the region of inte ...

9.11. Counting Statistics 569 Nb1 Nb2 dd w Nb Ni v/2 v/2 Figure 9.11.2: Subtraction of background for determination of peak area ...

570 Chapter 9. Essential Statistics for Data Analysis standard deviation in measurement ofNiis given by σi= [ σ^2 t+σb^2 ] 1 / 2 ...

9.11. Counting Statistics 571 Problems 1.Show that for large number of data points, the maximum likelihood function approaches t ...

572 Chapter 9. Essential Statistics for Data Analysis Integrated flux: 0, 100, 200, 300, 400, 500, 600 Leakage current: 453, 638 ...

BIBLIOGRAPHY 573 Bibliography [1] Anderson, T.W., Finn, J.D., The New Statistical Analysis of Data, Springer, 1996. [2] Barlow, ...

574 Chapter 9. Essential Statistics for Data Analysis [19] Sigworth, F.J., A Maximum-Likelihood Approach to Single-Particle Imag ...

575 Chapter 10 Software for Data Analysis With the advent of electronic detectors and fast data acquisition systems, the amount ...