What's the difference between binomial and trinomial?

Binomial


Definition:

  • (n.) An expression consisting of two terms connected by the sign plus (+) or minus (-); as, a + b, or 7 - 3.
  • (a.) Consisting of two terms; pertaining to binomials; as, a binomial root.
  • (a.) Having two names; -- used of the system by which every animal and plant receives two names, the one indicating the genus, the other the species, to which it belongs.

Example Sentences:

  • (1) The distributions of the probabilities of seeing N channels open in multichannel patch records were not not always well fitted by the binomial distribution: it is suggested that adjacent channels could have different probabilities of being open.
  • (2) The frequencies of the various anaphase patterns of bright and dim centromere regions were binomially distributed, indicating random distribution of chromatids with respect to the age of their DNA templates.
  • (3) Correlation of responses of offspring from the same litter is taken into account through the use of the beta-binomial distribution.
  • (4) The number of morphologically identified excitatory neuromuscular synapses exceeded the 'release sites' estimated from the binomial model (n) by a wide margin.
  • (5) EPSP-amplitude histograms of CA3-CA1 cell pairs (N = 10) and minimal electrical stimulation (N = 33) could be adequately described either by Poisson or binomial statistics, or by both, and exhibited similar estimates of unit quantal size (q) and mean quantal content (m).
  • (6) The Bayesian solution to the Behrens-Fisher problem of normal distributions with differing variances was an acceptable compromise after the data had been transformed by the inverse hyperbolic sine method applicable to negative binomials.
  • (7) Genetic correlations on the binomial scale seriously underestimated the correlations on the normal scale.
  • (8) The sensitivity of one flow cytometric examination was superior (binomial test, P less than or equal to 0.05) to that of one or two cytologic examinations for TA tumors and to that of one, two, or three cytologic examinations for TIS, T1, and all tumor categories combined.
  • (9) By means of test for Fitness of Binomial Distribution, it was found that HCC had an evident tendency of familial aggregation (P less than 0.01).
  • (10) Mammalian toxicity of the bis(guanylhydrazones) is effectively modeled by a regression equation containing binomial terms in Rm values, used as a measure of agent lipophilic-hydrophilic balance, and the logarithms of the IC50 values.
  • (11) Various illustrations are given and situations where the "cooperative" binomial scheme should be valuable are discussed.
  • (12) In most two-channel patches, the experimentally observed probabilities that zero, one, or two channels are open differ from the binomial distribution, demonstrating that the two channels are nonidentical or nonindependent or both.
  • (13) Exact numerical evaluation shows that this correction is not as important for this case as for the ratio of binomial parameters (Gart and Nam, 1988, Biometrics 44, 323-338).
  • (14) The analysis is based on a extended version of the negative binomial species frequency model.
  • (15) The binomial statistical parameters, releasable store (n) and probability of release (p), were examined under various stimulating conditions to determine the basis for depression and facilitation.
  • (16) In the present study, "compound" binomial distributions with variable probabilities were convolved with Gaussian distributions in computer experiments to simulate amplitude histograms of intracellular excitatory postsynaptic potentials (EPSPs).
  • (17) Evidence is given of the binomial distribution of the proportions of the three isoenzymes in the developing heart.
  • (18) The negative binomial probability generating function was used to show that six or more micronuclei per 1000 polychromatic cells from one treated animal would be significant for our laboratory, methodology and strain of mouse, provided that concurrent negative control data conformed with historic values.
  • (19) If we cease to aim for the universal pigeonholing of viruses into genera and species, binomial latinized names lose their chief justification.
  • (20) A binomial bioenergetical balance growth equation is considered.

Trinomial


Definition:

  • (n.) A quantity consisting of three terms, connected by the sign + or -; as, x + y + z, or ax + 2b - c2.
  • (a.) Consisting of three terms; of or pertaining to trinomials; as, a trinomial root.

Example Sentences:

  • (1) This paper presents a Dirichlet-trinomial distribution for modelling data obtained from reproductive and developmental studies.
  • (2) The Dirichlet-trinomial model provides a procedure for the analysis of multiple endpoints simultaneously.
  • (3) This proposed Dirichlet-trinomial model is a generalization of the beta-binomial model that has been used for handling the litter effect in reproductive and developmental experiments.
  • (4) The pretrial and trial data can be analysed by negative trinomial models.
  • (5) It is proposed to use a trinomial system of nomenclature for these groups: Babesia canis canis (Piana and Galli-Valerio, 1895), Babesia canis vogeli Reichenow, 1937, and Babesia canis rossi (Nuttall, 1910), having Dermacentor, Rhipicephalus and Haemaphysalis ticks as their vectors respectively.
  • (6) The proposed test procedure based on the Dirichlet-trinomial model is compared with that based on the beta-binomial model with an application to a real data set.
  • (7) If both camps were in operation throughout the migration and if the probability of missing a whale were constant, the removal method would provide a population size estimate based on a trinomial model in which the size of the population would be the number of trials, whales counted by each camp would provide the observed cell totals, and whales missed by both camps would represent an unobserved cell total.
  • (8) Since the probability of missing a whale depends on visibility, we model the population size as the sum of the number of trials of several independent trinomial distributions, each of which represents a particular visibility condition occurring during the census.

Words possibly related to "trinomial"