I am doing a lab report for my Nuclear Detection class that requires a little bi
ID: 3043891 • Letter: I
Question
I am doing a lab report for my Nuclear Detection class that requires a little bit of statistical/data analysis which I am confused about. The professor is asking me to "Normalize the counting plateaus at the midpoint for both the alpha particle and beta particle counting curves. Re-plot as before." What does this mean? How would I normalize this portion of the curve? I have included the alpha particle and beta particle counting curves.
Alpha Particle Plateau
Beta Particle Plateau
3, 10,.00 10,00 pdoExplanation / Answer
By seeing this two graphs we can identify that the data is not normal.
An informal approach to testing normality is to compare a histogram of the sample data to a normal probability curve. The empirical distribution of the data (the histogram) should be bell-shaped and resemble the normal distribution. This might be difficult to see if the sample is small.
A graphical tool for assessing normality is the normal probability plot, a quantile-quantile plot (QQ plot) of the standardized data against the standard normal distribution. Here the correlation between the sample data and normal quantiles (a measure of the goodness of fit) measures how well the data are modeled by a normal distribution. For normal data the points plotted in the QQ plot should fall approximately on a straight line, indicating high positive correlation. These plots are easy to interpret and also have the benefit that outliers are easily identified.
In order to transform a data in to normal one we use the methods like
1) logarithmic transformation
Procedure in SPSS Statistics
In the six steps that follow, a transformation using SPSS Statistics is performed on the following example data:
Data to Transform
36
32
45
41
29
22
18
36
10
40
Table:Data to enter into SPSS Statistics.
Rename the variable, "Data", instead of the default, "VAR00001
Click on Transform > Compute Variable... in the top menu
Transfer the Lg10 function into the Numeric Expression: box by pressing the Spss arrow up button.
Click the Data variable in the left-hand box and then click the SPSS right up button, which will result in the expression you see in the Numeric Expression: box below.
All you need to do now is give this new variable a name. We have called the new variable TrData. Type this name into the Target Variable: box in the top left-hand corner.
You will be presented with the SPSS Statistics Data Editor, which will now show the log transformed data under the new variable name "TrData" that you defined
Data to Transform
36
32
45
41
29
22
18
36
10
40
Table:Data to enter into SPSS Statistics.
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