A method of evaluating or screening a plurality of compositions comprising a NASP (non-anticoagulant sulfated polysaccharide) to identify a composition that is suitable for treating a subject having a blood coagulation disorder, the method comprising: determining the characteristics of: the coagulation activity and chemical makeup of each composition; the molecular structure of each NASP; wherein said determining the coagulation activity comprises assessing the EC 50 for procoagulant activity of the composition by calibrated automated thrombography, the procoagulant window of the composition, and calculating the ratio of procoagulant activity to anticoagulant activity of the composition; wherein said determining the molecular structure comprises determining the molecular weight of the NASP, the weight percentage of sulfur of the NASP, and the fucose and alginate content of the NASP; and wherein said determining the chemical makeup comprises determining the elemental components of the composition, and wherein said determining the elemental components of the composition comprises determining the impurity content of the composition; wherein said method further comprises comparing the determined characteristics of the plurality of compositions comprising a NASP; wherein said method further comprises determining that one or more of the plurality of compositions may be suitable for treating a subject having a blood coagulation disorder when the composition comprises: an EC 50 value for procoagulant activity of 0.3 μg/mL or less as determined by CAT; a procoagulant window of 0.1 to 100 μg/mL; a ratio of the procoagulant activity to the anticoagulant activity of the composition that is 10 or greater; a molecular weight of the NASP that is 160 kDa or less; a fucose content of the NASP that is 60% fucose or greater; an alginate content of the NASP that is 10% alginate or less; a weight percent of sulfur of the NASP that is 8% sulfur by weight or greater; and a weight percent of impurities in the composition that is 0.1% impurities by weight or less. the coagulation activity and chemical makeup of each composition; the molecular structure of each NASP; wherein said determining the coagulation activity comprises assessing the EC 50 for procoagulant activity of the composition by calibrated automated thrombography, the procoagulant window of the composition, and calculating the ratio of procoagulant activity to anticoagulant activity of the composition; wherein said determining the molecular structure comprises determining the molecular weight of the NASP, the weight percentage of sulfur of the NASP, and the fucose and alginate content of the NASP; and wherein said determining the chemical makeup comprises determining the elemental components of the composition, and wherein said determining the elemental components of the composition comprises determining the impurity content of the composition; wherein said method further comprises comparing the determined characteristics of the plurality of compositions comprising a NASP; wherein said method further comprises determining that one or more of the plurality of compositions may be suitable for treating a subject having a blood coagulation disorder when the composition comprises: an EC 50 value for procoagulant activity of 0.3 μg/mL or less as determined by CAT; a procoagulant window of 0.1 to 100 μg/mL; a ratio of the procoagulant activity to the anticoagulant activity of the composition that is 10 or greater; a molecular weight of the NASP that is 160 kDa or less; a fucose content of the NASP that is 60% fucose or greater; an alginate content of the NASP that is 10% alginate or less; a weight percent of sulfur of the NASP that is 8% sulfur by weight or greater; and a weight percent of impurities in the composition that is 0.1% impurities by weight or less. an EC 50 value for procoagulant activity of 0.3 μg/mL or less as determined by CAT; a procoagulant window of 0.1 to 100 μg/mL; a ratio of the procoagulant activity to the anticoagulant activity of the composition that is 10 or greater; a molecular weight of the NASP that is 160 kDa or less; a fucose content of the NASP that is 60% fucose or greater; an alginate content of the NASP that is 10% alginate or less; a weight percent of sulfur of the NASP that is 8% sulfur by weight or greater; and a weight percent of impurities in the composition that is 0.1% impurities by weight or less.