Abstract: Analytical chemical reagents termed non-signal imidazoles and a method for their use that provide a host of advantages for analysis of phosphomonoesters are described. The method and compounds of the invention provide a host of advantages for the analysis of phosphomonoester-containing compounds, namely characteristic, multi-analyte detection with high sensitivity and specificity of known and unknown phosphomonoester-containing compounds simultaneously.

Abstract: A method for measuring a degree of association (58) between, and for selectively creating a grouping (40) of, n plurality of spatially referenced physical events (22) of a predetermined physical characteristic. The method includes the steps of assembling n plurality of physical events (26), assembling a universe of possible sample locations (36), determining a reference distribution (54), determining a restricted distribution (56), and determining the degree of association (58) between the n plurality of physical events. Specifically, the physical events each have an indicia of location and a physical characteristic above a threshold. The step (54) of determining a reference distribution is conducted by calculating a test statistic (78) for each of n? plurality of random allocations (74) of the n plurality of physical events over the selected n plurality of sample locations.

Abstract: A method for measuring a degree of association (58) between, and for selectively creating a grouping (40) of, n plurality of spatially referenced physical events (22) of a predetermined physical characteristic. The method includes the steps of assembling n plurality of physical events (26), assembling a universe of possible sample locations (36), determining a reference distribution (54), determining a restricted distribution (56), and determining the degree of association (58) between the n plurality of physical events. Specifically, the physical events each have an indicia of location and a physical characteristic above a threshold. The step (54) of determining a reference distribution is conducted by calculating a test statistic (78) for each of n? plurality of random allocations (74) of the n plurality of physical events over the selected n plurality of sample locations.

Abstract: A method for measuring a degree of association (58) between, and for selectively creating a grouping (40) of, n plurality of spatially referenced physical events (22) of a predetermined physical characteristic. The method includes the steps of assembling n plurality of physical events (26), assembling a universe of possible sample locations (36), determining a reference distribution (54), determining a restricted distribution (56), and determining the degree of association (58) between the n plurality of physical events. Specifically, the physical events each have an indicia of location and a physical characteristic above a threshold. The step (54) of determining a reference distribution is conducted by calculating a test statistic (78) for each of n′ plurality of random allocations (74) of the n plurality of physical events over the selected n plurality of sample locations.

Abstract: A method for measuring a degree of association (58) between, and for selectively creating a grouping (40) of, n plurality of spatially referenced physical events (22) of a predetermined physical characteristic. The method includes the steps of assembling n plurality of physical events (26), assembling a universe of possible sample locations (36), determining a reference distribution (54), determining a restricted distribution (56), and determining the degree of association (58) between the n plurality of physical events. Specifically, the physical events each have an indicia of location and a physical characteristic above a threshold. The step (54) of determining a reference distribution is conducted by calculating a test statistic (78) for each of n′ plurality of random allocations (74) of the n plurality of physical events over the selected n plurality of sample locations.

Abstract: A method for measuring a degree of association (58) between, and for selectively creating a grouping (40) of, n plurality of spatially referenced physical events (22) of a predetermined physical characteristic. The method includes the steps of assembling n plurality of physical events (26), assembling a universe of possible sample locations (36), determining a reference distribution (54), determining a restricted distribution (56), and determining the degree of association (58) between the n plurality of physical events. Specifically, the physical events each have an indicia of location and a physical characteristic above a threshold. The step (54) of determining a reference distribution is conducted by calculating a test statistic (78) for each of n′ plurality of random allocations (74) of the n plurality of physical events over the selected n plurality of sample locations.

Abstract: A method for measuring a degree of association between, and for selectively creating a grouping of, n plurality of spatially referenced physical events of a predetermined physical characteristic. The method includes the steps assembling n plurality of physical events, assembling a universe of possible sample locations, determining a reference distribution, determining a restricted distribution, and determining the degree of association between the n pluralities of physical events. Specifically, the physical events each have an indicia of location and a physical characteristic above a threshold. The step of determining a reference distribution of conducted by calculating a test statistic for each of n′ plurality of random allocations of the n plurality of physical events over the selected n plurality of sample locations.