Muon Data Analysis:

 

Introduction:

          The purpose of this tutorial is to describe various methods of muon data analysis. 

 

Data transfer:

Muon count data is stored in the Linux program on the detector computer.  The following procedure can be used to transfer data to the Excel program and use that program for data analysis on a second computer.

 

1)      It is first necessary to download the file to a disk.  First, place a disk in the disk drive of the computer.  Follow the instuctions on the Linux command sheet as follows:

 

mount /mnt/qfloppy

cp yourfilename /mnt/qfloppy

umount /mnt/qfloppy

 

2)      Next, remove the disk and transfer it to the computer used for data analysis.

 

3)                Open the Excel program on the computer, then open the data file from the disk.  The text import wizard window will appear.  In Step 1, choose the delimited option under original data type.  In Step 2, choose Tab under delimiters.  Simply choose the finish option in Step 3.

 

The table below illustrates the manner in which downloaded data is displayed in the Excel program:

 

A

B

C

D

E

Bin #

Date & Time

Frequency (Hz)

Events

Std dev=ÖEvents / time (Hz)

1

07/31/01 13:36:45

.103889

187

.007597

2

07/31/01 14:06:45

.110000

198

.007817

3

07/31/01 14:36:45

.101667

183

.007515

4

07/31/01 15:06:45

.110000

198

.007817

5

07/31/01 15:36:45

.112222

202

.008425

 

 

 

4)      Making a Chart of Events vs. Time

 

1.     Highlight the date and event columns.

2.     Click on the chart wizard on the menu bar.

3.     Select XY Scatter and click Next>.

This will give you a graph and you can format it by following the steps.

 

 

5)      Creating Error Bars

 

1.     Right click on any data point to highlight the series.

2.     Choose “Format Data Series”.

3.     Choose the ‘Y Error Bars’ tab.

4.     Under Display, choose ‘Both’.

5.     Highlight ‘Custom’ and click the icon at the right side of the positive cursor field.  This will take you back to you data sheet.

6.     Highlight the standard deviation column and press enter.

Repeat steps 5 and 6 for the negative error field and click OK.

 

The data above yielded the following graph using this procedure:

 

 


Additional Data Analysis

 

          The following example illustrates some additional methods of data analysis:

 

Altitude

Counts

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0

15

30

45

60

75

90

105

120

135

150

165

180

195

210

225

240

255

270

285

300

315

330

345

0

30

33

31

29

29

42

23

27

35

28

29

31

30

33

31

29

29

42

23

27

35

28

29

31

15

29

48

48

49

54

53

35

47

37

44

40

38

50

31

25

34

32

30

17

39

47

39

38

45

30

79

52

69

121

68

111

63

79

90

81

79

103

78

63

54

82

67

55

31

72

57

70

78

95

45

108

93

136

117

117

180

118

122

136

131

129

139

120

103

108

111

136

139

109

127

125

136

117

134

60

175

171

210

213

178

234

181

193

192

173

188

180

162

167

157

182

204

178

172

207

191

210

200

218

75

196

212

247

246

245

314

255

215

229

228

259

235

214

220

178

243

187

206

230

238

252

222

253

278

90

208

196

210

228

294

327

246

281

264

245

270

283

208

196

210

228

294

327

246

281

264

245

270

283

 

 

The sample data was taken during the Spring of 2001 at Naples High School.  In the experiment, muon counts were taken in 30 minute intervals for various azimuth and cardinal angles. The angles were varied in 15 degree increments in such a way that data represents muon counts from different directions across the entire sky.

         

Such data may be analyzed using some of the different chart options in the Excel program.  The following graphs represent some of the types which may be produced:

 

1)  XY-Scatter Graph:


2) Radial Graph

 


3)  Surface Graph 

 


 

4) Column Graph

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Prepared by:

 

          Briana Wood        Byron-Bergen High School

          Joe Willie              Naples High School