Tests, independent of any solar model, can be made of whether solar neutrino experiments are consistent with the minimal Standard Model (stable, massless neutrinos). If the experimental uncertainties are correctly estimated and the sun is generating energy by light-element fusion in quasi-static equilibrium, the probability of a standard-physics solution is less than 2%. Even when the luminosity constraint is abandoned, the probability is not more than 4%. The sensitivity of the conclusions to input parameters is explored. . The spectral shape of each individual component, whether line or continuum, is determined by laboratory measurement and/or electroweak theory. Its relative intensity, on the other hand, depends delicately on astrophysical models of the sun. The fact that these models predicted to within a factor of two the intensity of a 0.01% branch ( 8 B) that varies as the 25th power [2] of the central temperature of the sun must be regarded as a stunning achievement and a clear indication of the basic correctness of our understanding of how the sun and other stars function.Nonetheless, the lack of perfect agreement raised speculation about possible exotic origins, such as neutrino oscillations. At first, the model dependence of the 8 B flux calculation made such speculations interesting but not compelling. Now, however, steadily improving data from 4 independent experiments are available. The Homestake Cl-Ar experiment [3] Because the three types of experiment have different energy thresholds, a coarse neutrino spectroscopy of the sun has been made. The least model-dependent questions that can be asked are,Is it possible to describe the neutrino spectrum with any combination of the known sources in hydrogen-burning?Is the total neutrino flux consistent with the solar luminosity?Many have considered model-independent analyses [9-17]; in particular, Hata et al. [13] showed the data to be inconsistent with hydrogen burning and the luminosity constraint without new physics. To this body of analysis we add (a) a test of consistency free of the luminosity constraint, (b) a test for inconsistency of the data with the total solar luminosity, (c) the probabilities that the existing data would be obtained from true values in the physical regime in the absence of new physics, and (d) the dependence of the conclusions on the neutrino cross sections.The spectral shape and endpoint of the neutrino data from Kamiokande show that 8 B neutrinos are emitted from the sun and that hep neutrinos are, as expected, negligible. The pep reaction rate we take to be a fixed fraction, f pep = 0.23(2)%, of the pp rate, [18,19] (while in principle model-dependent, f pep is one of the most reliably determined model parameters, depending chiefly on the electron density and only weakly on temperature and on nuclear wavefunctions [1]). The 7 Be and CNO fluxes play a qualitatively interchangeable role in the existing experiments -the Cl-Ar and Ga experiments are sensitive to both and Kamiokande to neither. As a result, it is possible to ...