What's the difference between multinomial and polynomial?
Multinomial
Definition:
(n. & a.) Same as Polynomial.
Example Sentences:
(1) Measurements of correlation between these infections based on properties of the multivariate, multinomial distribution are calculated to show age and sex patterns of association in different population samples.
(2) These are conditional probabilities used in logit models to define the dependence of the multinomial proportions on explanatory variables and unknown parameters.
(3) We simulated multinomial AIDS incidence counts from 27 'representative' AIDS epidemics that spanned a period corresponding to previous applications of backcalculation (1 January 1977 to 1 July 1987) and assessed mean square error for several back-calculated estimators of HIV prevalence and short-term AIDS projections.
(4) Using multinomial chi-square statistical analysis, we found that the operated and nonoperated sides evidenced equal reactivity.
(5) (This is similar to the problem of a multinomial cross-classification with supplemental partially cross-classified data.)
(6) Asymptotic variances are derived under the assumption that the frequencies of the unique response patterns follow the multinomial distribution.
(7) A statistical test based on a multinomial model for character-state configurations is described.
(8) The results show that different models are suitable for modelling complementary sorts of differences between multinomial response distributions.
(9) The first method is based on the maximum likelihood estimates of the allele probabilities, and the second (multinomial) method uses the phenotype proportions in the sample.
(10) This paper concerns continuation ratio models for multinomial responses.
(11) The three dimensional parameter space of the multinomial distribution is completely specified by the two marginal probabilities of success of the 2 x 2 table and an association parameter between the binary responses at the two times.
(12) A multinomial logistic regression model showed a statistically significant difference in the response to the challenge on the basis of pack-years.
(13) The estimator obtained is a ratio of linear combinations of observed multinomial proportions.
(14) We construct a 2 x 2 table for each individual with cell probabilities corresponding to the cross-classification of the responses at the two times; the underlying likelihood for each individual is multinomial with four cells.
(15) Compared with the multinomial distribution of segregation classes of haplotypes, there was no significant departure (probability .05 or less) from the expected segregation ratio for either paternal or maternal haplotypes.
(16) Serial APACHE II scores on days 1, 3, and 5 were subjected to multinomial logistic regression analysis to determine significant predictors of death in the SICU on day 1.
(17) These data were used to estimate a multinomial logistic model of the determinants of insurance choices, where the options included the two listed above and a basic Medicare option.
(18) Arguments have been presented for the appropriateness of a multinomial Dirichlet distribution for describing single-locus genotypic frequencies in a subdivided population.
(19) This paper presents tables analogous to T-tables for use in the 2 x 2 multinomial trial, where the continuity corrected Z-statistic is used to make exact unconditional inference.
(20) When the system contains many channels, the probability distribution of the numbers of the channels that occupy each of these states is a time-dependent multinomial distribution and the distribution of the first passage time from resting state to open state becomes an exponential decay function with higher components.
Polynomial
Definition:
(n.) An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.
(a.) Containing many names or terms; multinominal; as, the polynomial theorem.
(a.) Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.
Example Sentences:
(1) The dual-line and polynomial regression techniques fit the data better (mean residual square deviation 0.024 and 0.031, respectively) than the single-regression line approach (0.110).
(2) The N2O dose-response data for each animal were fit by a second-order polynomial equation to estimate the value of a second-order coefficient.
(3) The calculation is made from a newly derived third-degree polynomial reflecting the ratio of the optic densities of whole nonstabilized blood hemoglobin aqueous solution in the 560-580 and 535-560 nm bands.
(4) Relative dose functions for 125I for these phantom media are fitted to second-degree polynomials.
(5) For this purpose we employed a third-degree polynomial regression analysis which showed a better fit of the data.
(6) Changes in pressures (IAP, CVP) and shunt flow were tabulated and analyzed with linear and polynomial regression.
(7) Trend analysis of the fatigue patterns revealed that a cubic orthogonal polynomial equation was sufficient to describe the profile of MVC decrement for all conditions.
(8) The superiority of the R3SSE over two related equations--a simple second-degree polynomial equation and a simplified form of the R3SSE which neglects contributions to solubility from the solvent mixture--is also demonstrated for a number of solutes.
(9) The polynomial logit-log procedure gave the best fit, but this was probably due to the inherent flexibility of this curve-fitting process since the analytical precision achieved with it was not better than what was obtained with most of the other procedures.
(10) A theorem about correspondence of the graph constructed and coefficients of the characteristic polynomial of linearized kinetic equations is proved.
(11) A tabulation is given of the polynomials for all possible stereoisomers of many of the knotted and catenated forms that are found in DNA.
(12) We present a polynomial algorithm (O(n X L4), where n is the number of sequences) for generating strings related to the LCS and constructed with the sequence alphabet and an indetermination symbol.
(13) The LV volume curve was smoothed by fitting a fourth order polynomial curve of Fourier's analysis.
(14) This case reduces to Wyman's binding polynomial analysis.
(15) Hence, the dose response relationship for the trophic effect of gastrin on the enterochromaffin like cells seems to follow a polynomial rather than a linear function.
(16) Polynomial curves were fitted to each race and sex group and, from these, estimates were made of the 3rd, 50th, and 97th percentiles for height and weight.
(17) The H-H rate constants, alpha and beta, are approximated by polynomial functions rather than exponential functions, since the former are handled more efficiently by SPICE.
(18) A third-order polynomial function would theoretically explain better than a linear relation or a parabolic fit the curved shape of experimentally obtained P-Q relationships.
(19) A polynomial regression fits the best the results: the speed of acquisition of this kind of learning decreases between the ages of 3 and 35 days, a plateau being observed in flies older than 35 days.
(20) It involves a conceptual dissection of the polypeptide chain into interacting blocks; the behavior of any block with side-chain interactions is treated then with conventional binding polynomial techniques.