Finally, I have got a solution to my problem. I hope this will help many others like me. The problem is basically a limitation of arrayToDataTable method. The row of data must have the correct type in all columns. Since we have null values in rows, the API is either assuming that the data type of that column in null or it is throwing an error about not getting a valid data type. To fix this, you will have to switch to the a standard DataTable constructor
var data = new google.visualization.DataTable();
data.addColumn('string', 'Year');
data.addColumn('number', 'Health (P)');
data.addColumn('number', 'Health (A)');
data.addColumn('number', 'Gender (P)');
data.addColumn('number', 'Gender (A)');
data.addColumn('number', 'Education (P)');
data.addColumn('number', 'Education (A)');
data.addColumn('number', 'Agriculture (P)');
data.addColumn('number', 'Agriculture (A)');
data.addColumn('number', 'Social protection (P)');
data.addColumn('number', 'Social protection (A)');
data.addColumn('number', 'Environment (P)');
data.addColumn('number', 'Environment (A)');
data.addColumn('number', 'Water/sanitation (P)');
data.addColumn('number', 'Water/sanitation (A)');
data.addRows([
['2008',81.06,null,1.32,null,94.68,0,13.41,null,30.36,null,19.78,null,36.87,null],
['2009',27.13,null,22.34,null,33.6,null,79.92,null,1.34,null,89.77,0,15.68,null],
['2010',104.89,0,14.61,null,33.46,null,30.29,null,22.28,null,107.81,null,1.39,null],
['2011',55,0,110.69,null,1.3,null,106.24,0,14.45,null,27.34,null,30.71,null],
['2012',29.96,null,27.88,null,44.77,null,133.83,null,1.31,null,105.01,null,17.83,null],
['2013',0,null,0,null,0,null,0,null,0,null,0,null,0,null]
]);
Copied from the following link
https://groups.google.com/forum/?fromgroups=#!topic/google-visualization-api/2Jafk8PyjV4
Alternatively, with arrayToDataTable() you can specify the type in the header row. See the docs for more https://developers.google.com/chart/interactive/docs/datatables_dataviews#arraytodatatable
var data = google.visualization.arrayToDataTable([
['Categegories', {label: 'R1', type: 'number'} , {label: 'R2', type: 'number'} , {label: 'R3', type: 'number'} , {label: 'R4', type: 'number'} , {label: 'R5', type: 'number'} , {label: 'R6', type: 'number'} ],
['A', 1, 4, 2, 4, 1, null],
['D', 3, null, null, 7, null, 1],
['G', null, null, null, 8, null, null],
]);