LeoStatistic software for data presentation, statistical analysis, marketing and prediction. Free download: LeoStatistic.zip or LeoStatistic.exe(selfextracting winzip file) Registration Introduction Data Statistics Results presentation Samples Popular statistics and data analysis X-ray curve. Anybody from science community could have old archives with results of experiments made long time ago. Sometimes only in a form of photo or drawing. LeoStatistic can help to transform them into numerical presentation and analyze with most convenience.Let's check an example of such task Honestly speaking I did it only for the demonstration sake here, there is no real value in the old X-ray curve of primary stage crystallization of silicate glass... But let's imaging that it has.I put the photo in the scanner. Result JPG image is like this (25% of real image size) Next step was improving the quality of the picture and as very first step to make it mirror like. I used my software LeoPicture.Here is a result of enchanting this image (25% of size too):   Now the time to extract data from it. Open LeoStatistic. Click on "Add"  button. Chose "Image". In dialog box click on "From file" then put rectangle of matching physical and virtual coordinates; rectangle isolating the curve, click of "Line" button and get a picture like this:   Press button "OK" and data will be transferred in LeoStatistic as a series of two parameters. After editing names of them to "f" for argument, "I" for value and set a size of the mark "1" the screenshot of LeoStatistic will looks like this: Two point with argument f near "14" are obviously mistakenly defined. Click at "Show data" it and delete them. Then try the obviously most suitable statistical scheme - "peaks revealing". Small experimentations shows that setting as shown on the screen gives the best results: Content of result panel after copy/paste procedure is shown here: ```Function of one argument. Peaks Series 1 (1141 records) y=F(x) Base line: 65.4166*x^2 -200.498*x +215.779 20 peaks found: Noise level = 0.0582873 Sum of gauss like peaks: (0.39894228*A/sigma)*exp(-0.5*((x-Average)/St.Dev.)^2) N Average St.Dev. A Max. pos.Max. signal 1 13 0.11 9.15574 13.3228 35.935 2 8 0.79 39.1623 8.18898 19.7526 3 16 0.11 3.79076 15.4646 17.9127 4 13 0.1 1.32826 12.9764 4.92022 5 12 0.19 1.94017 12.252 4.39944 6 16 0.09 0.51576 15.8425 3.55087 7 9.6 0.095 1.55564 9.6378 3.48018 8 15 0.98 6.41223 14.9606 3.42095 9 11 0.098 0.64964 11.0866 2.78035 10 19 0.43 2.26113 18.8976 2.43301 11 18 0.096 0.47355 17.7323 1.85566 12 10 0.089 0.46372 9.95276 1.70165 13 22 0.11 0.36419 21.8268 1.45019 14 21 0.15 0.48002 21.3543 1.31604 15 20 0.068 0.15492 20.252 0.996557 16 21 0.16 0.19065 20.6929 0.62381 17 17 0.11 0.13997 17.1024 0.527019 18 18 0.053 0.10091 17.9843 0.46624 19 9.2 0.13 0.30741 9.25984 0.411342 20 11 0.089 0.01958 10.8031 0.372078``` In the spite the result is already quite satisfactory there is no limits to perfection.The original algorithm of finding base line in peaks revealing algorithm is working quite well but its has its limitations... Let's extract a base line from the curve using other tools of LeoStatistic and will apply a peaks revealing algorithm again.  Do following steps: Click on ">>" button to return to main panel of "Statistics". Click on "Constructor style" button. In the appeared panel check buttons: "ln(y)", "1", "x.", "x^2" ,"x^3", "x^4".Go to "Data" tab and click "Insert" button. Chose there "Current theoretical scheme" name "It" and click "Insert-->". Check parameter  "It" and button "Modify". In appeared dialog put in edit box a formula "I-It" and press "Modify".Make all parameters except "It" inactive. Go to "View" tab and press histogram button. Learn that null level is about 5. Modify "It" again adding 5 by formula "It+5". To be sure modify again deleting all less then zero.Make "x" argument and repeat peak revealing scheme again. Here is a result. to my mind it's slightly better. ```Function of one argument. Peaks Series 1 (1141 records) It=F(f) Base line: 157.58*f^2 -262.86*f +189.521 16 peaks found: Noise level = 0.293242 Sum of gauss like peaks: (0.39894228*A/sigma)*exp(-0.5*((f-Average)/St.Dev.)^2) N Average St.Dev. A Max. pos.Max. signal 1 13 0.11 8.86342 13.3228 34.7512 2 16 0.11 3.78989 15.4646 16.6906 3 9.6 0.088 1.31456 9.6378 7.78409 4 8.7 0.55 5.66353 8.59843 5.67662 5 13 0.09 1.14739 12.9764 4.31099 6 12 0.18 1.56676 12.252 4.05199 7 19 0.57 4.60636 18.8976 3.68998 8 11 0.11 0.73141 11.0866 3.15343 9 16 0.072 0.60733 15.8425 2.9234 10 15 0.26 0.74742 14.9606 1.9812 11 21 0.23 0.87839 21.2598 1.9394 12 18 0.14 0.64873 17.6063 1.55988 13 10 0.074 0.34612 9.95276 1.45527 14 21 0.22 0.87367 20.6614 1.43209 15 14 0.041 0.08096 13.6378 1.20954 16 14 0.16 0.33168 14.2362 1.04749 ``` In any case our advise is carefully check any date produced by any program. There is no substitute for common sense and professionalism. Screenshots of the LeoStatistic software: click on picture to enlarge Building histogram Distribution of two variables. Approximation(constructor style interface). 3D view. DOW trend. Signals revealing. Near neighbors method. Harmonic analysis. Fit with free format formula. Curve fit of crystal growth rate. Get data from image file.
 Data analysis  Crystal growth simulation  Internet robot  Photoshop and image analyzer  NetCDF editor  Calculator Software archive  Expert database  Photo album  Maverick thoughts  Open forum  Search for cheap sale Home  Products  Partners  Service  Contact Copyright © by LeoKrut