Difference between revisions of "Analyze data with the Statistics software R"

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(Online results:)
(Online results:)
Line 120: Line 120:
 
                         }
 
                         }
  
                         $('output').innerHTML = '<b>Normal location and scale:</b><br /><br />'+  
+
                         $('output').innerHTML = '<b><font size="+1">Normal location and scale:</font></b><br /><br />'+  
                                 'Estimates for location (true value = 10):<br />' +
+
                                 '<b>Estimates for location (true value = 10):</b><br />' +
 
                                 'Mean = ' + brd.round(m,2) + '<br />' +
 
                                 'Mean = ' + brd.round(m,2) + '<br />' +
 
                                 'Median = ' + brd.round(med,2) + '<br />' +
 
                                 'Median = ' + brd.round(med,2) + '<br />' +
 
                                 'Radius-minimax estimator = ' + brd.round(est1,2) + '<br /><br />' +
 
                                 'Radius-minimax estimator = ' + brd.round(est1,2) + '<br /><br />' +
                                 'Estimates for scale (true value = 3):<br />' +
+
                                 '<b>Estimates for scale (true value = 3):</b><br />' +
 
                                 'Standard deviation = ' + brd.round(sd,2) + '<br />' +
 
                                 'Standard deviation = ' + brd.round(sd,2) + '<br />' +
 
                                 'MAD = ' + brd.round(mad,2) + '<br />' +  
 
                                 'MAD = ' + brd.round(mad,2) + '<br />' +  

Revision as of 10:27, 11 December 2008

This litte application sends the y-coordinates of the points which are normal distributed (pseudo-)random numbers to the server.
There, location and scale of the sample are estimated using the Statistics software R.
The return values are plotted and displayed.

Online results:

Statistics:<br>

The JavaScript code of the client

        brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 20, originY: 300, unitX: 60, unitY: 10});
        b1axisx = brd.createElement('axis', [[0,0], [1,0]], {ticksDelta:5, strokeColor:'#000000'});
        b1axisy = brd.createElement('axis', [[0,0], [0,1]], {ticksDelta:5, strokeColor:'#000000'});
        b1axisx.ticksDelta = 5;
        b1axisy.ticksDelta = 5;
        brd.fullUpdate = true;
        brd.update();
        brd.fullUpdate = false;
        
        var graph1,graph2,graph3,graph4,graph5,graph6,graph7,graph8,graph9;

        var x = [];
        var y = [];
        var p = [];
        var r1, r2, rad, phi, z1, z2;
        for (var i=0;i<6;i++) {
            x[i] = i;
            // Box-Muller-Method for standard normal random numbers
            r1 = Math.random();
            r2 = Math.random();
            rad = Math.sqrt(-2*Math.log(1-r1));
            phi = 2*Math.PI*r2;
            z1 = rad*Math.cos(phi);
            z2 = rad*Math.sin(phi);
            if(i < 5){
                y[i] = 10+z1*3;
                y[6+i] = 10+z2*3;
                x[6+i] = 6+i;
                p[i] = brd.createElement('point', [x[i],y[i]],{name:' ',fixed:true,style:7}); 
                p[6+i] = brd.createElement('point', [x[6+i],y[6+i]],{name:' ',fixed:true,style:7});
            }else{
                y[i] = 10+z1*3;
                p[i] = brd.createElement('point', [x[i],y[i]],{name:' ',fixed:true,style:7}); 
            }
        }
        var hlow = [];
        var hup = [];
        var l = [];
        hlow[0] = brd.createElement('point', [x[0],0],{name:' ',visible:false}); 
        hlow[1] = brd.createElement('point', [x[10],0],{name:' ',visible:false}); 
        hlow[2] = brd.createElement('point', [x[8],0],{name:' ',visible:false}); 
        hlow[3] = brd.createElement('point', [x[9],0],{name:' ',visible:false}); 
        hup[0] = brd.createElement('point', [x[0],20],{name:' ',visible:false}); 
        hup[1] = brd.createElement('point', [x[10],20],{name:' ',visible:false}); 
        hup[2] = brd.createElement('point', [x[8],20],{name:' ',visible:false}); 
        hup[3] = brd.createElement('point', [x[9],20],{name:' ',visible:false}); 
        l[0] = brd.createElement('line', [hlow[0],hup[0]],{visible:false}); 
        l[1] = brd.createElement('line', [hlow[1],hup[1]],{visible:false}); 
        l[2] = brd.createElement('line', [hlow[2],hup[2]],{visible:false}); 
        l[3] = brd.createElement('line', [hlow[3],hup[3]],{visible:false}); 

        brd.removeObject(p[0]);
        brd.removeObject(p[10]);
        brd.removeObject(p[8]);
        brd.removeObject(p[9]);
        
        p[0] = brd.createElement('glider', [x[0],y[0],l[0]],{name:' ',style:6}); 
        p[10] = brd.createElement('glider', [x[10],y[10],l[1]],{name:' ',style:6}); 
        p[8] = brd.createElement('glider', [x[8],y[8],l[2]],{name:' ',style:6}); 
        p[9] = brd.createElement('glider', [x[9],y[9],l[3]],{name:' ',style:6}); 

        doIt();
        
        function doIt() {
            brd.update();
            // Generate a ";"-separated list
            var t = '';
            for (var i=0;i<p.length;i++) {
                t += p[i].Y() + ';';
            }
            new Ajax.Request('/~alfred/jsxgraph/branches/0.70/examples/rserv.php', {
                method:'post',
                parameters:'input='+escape(t),
                onComplete: function(transport) {
                    if (200 == transport.status) {
                        var t = transport.responseText;
                        var res = t.match(/"(.*)"/gi);
                        res = RegExp.$1;
                        var a = res.split(";");
                        var m = a[0]*1.0;
                        var sd = a[1]*1.0;
                        var med = a[2]*1.0;
                        var mad = a[3]*1.0;
                        var mad = a[3]*1.0;
                        var est1 = a[4]*1.0;
                        var est2 = a[5]*1.0;
                        if (!graph2) { 
                            graph2 = brd.createElement('curve', [[x[0],x[x.length-1]],[m,m]], {strokecolor:'red'}); 
                            graph3 = brd.createElement('curve', [[x[0],x[x.length-1]],[m+sd,m+sd]], {strokecolor:'red',dash:2}); 
                            graph4 = brd.createElement('curve', [[x[0],x[x.length-1]],[m-sd,m-sd]], {strokecolor:'red',dash:2}); 
                            graph5 = brd.createElement('curve', [[x[0],x[x.length-1]],[med,med]], {strokecolor:'gray'}); 
                            graph1 = brd.createElement('curve', [[x[0],x[x.length-1]],[med-mad,med-mad]], {strokecolor:'gray',dash:3}); 
                            graph6 = brd.createElement('curve', [[x[0],x[x.length-1]],[med+mad,med+mad]], {strokecolor:'gray',dash:3}); 
                            graph8 = brd.createElement('curve', [[x[0],x[x.length-1]],[est1,est1]], {strokecolor:'green'}); 
                            graph7 = brd.createElement('curve', [[x[0],x[x.length-1]],[est1-est2,est1-est2]], {strokecolor:'green',dash:4}); 
                            graph9 = brd.createElement('curve', [[x[0],x[x.length-1]],[est1+est2,est1+est2]], {strokecolor:'green',dash:4}); 
                        } else {
                            graph2.dataY = [m,m];
                            graph3.dataY = [m+sd,m+sd];
                            graph4.dataY = [m-sd,m-sd];
                            graph5.dataY = [med,med];
                            graph1.dataY = [med-mad,med-mad];
                            graph6.dataY = [med+mad,med+mad];
                            graph8.dataY = [est1,est1];
                            graph7.dataY = [est1-est2,est1-est2];
                            graph9.dataY = [est1+est2,est1+est2];
                        }

                        $('output').innerHTML = 'Normal location and scale:<br /><br />'+ 
                                'Estimates for location (true value = 10):<br />' +
                                'Mean = ' + brd.round(m,2) + '<br />' +
                                'Median = ' + brd.round(med,2) + '<br />' +
                                'Radius-minimax estimator = ' + brd.round(est1,2) + '<br /><br />' +
                                'Estimates for scale (true value = 3):<br />' +
                                'Standard deviation = ' + brd.round(sd,2) + '<br />' +
                                'MAD = ' + brd.round(mad,2) + '<br />' + 
                                'Radius-minimax estimator = ' + brd.round(est2,2) + '<br />';
                        brd.update();
                    };
                }});
        }

The PHP code of the server (rserv.php)

<?php
$input = $_POST["input"];
if (!get_magic_quotes_gpc()) {
    $input = addslashes($input);
}
$cmd = "/usr/bin/Rscript LokSkala.R '" . $input ."'";
passthru($cmd);
?>

The R script can be downloaded here.