1). Open TIBCO Spotfire Analyst and load any sample data/analysis file in it.
2). Click on Edit Menu >> Data Table Properties and select the radio button - "Manage Manually" from the Filters section and then click the "OK" button.
For Spotfire 7.5 and above, Data Menu contains the Data Table Properties option.
3). Right click on any filter which you want to delete from the filter panel and select the option - "Delete".
Note -
If you want to delete any filter from the filter group then right click in the filter panel and select "Organize Filters". Select the desired filter and then click on the "Move To Group" button >> "No Group" It will move the desired filter at the end of the filter panel of the data table. See the attached (Filename: Group_Filter.PNG) for reference.