What's the difference between coefficient and covariant?

Coefficient


Definition:

  • (a.) Cooperating; acting together to produce an effect.
  • (n.) That which unites in action with something else to produce the same effect.
  • (n.) A number or letter put before a letter or quantity, known or unknown, to show how many times the latter is to be taken; as, 6x; bx; here 6 and b are coefficients of x.
  • (n.) A number, commonly used in computation as a factor, expressing the amount of some change or effect under certain fixed conditions as to temperature, length, volume, etc.; as, the coefficient of expansion; the coefficient of friction.

Example Sentences:

  • (1) Correction for within-person variation in urinary excretion increased this partial correlation coefficient between intake and excretion to 0.59 (95% CI = 0.03 to 0.87).
  • (2) The coefficient of variation in the integrated area of a single peak is 16%.
  • (3) The diseases of airways had the highest contribution to the coefficient of morbidity.
  • (4) The overall result of this system has been to decrease the coefficients of variation to below 5% for all the milk and serum proteins tested.
  • (5) (2) A close correlation between the obesity index and serum GPT was recognized by elevation of the standard partial regression coefficient of serum GPT to obesity index and that of obesity index to serum GPT when the data from all 617 students was analysed in one group.
  • (6) The variation in age-specific rates with age was similar for all cancers, as demonstrated by large positive correlation coefficients between age-incidence patterns averaged over all populations.
  • (7) 27% of the neurons revealed high sensitivity to the temperature stimulus with coefficient Q10 from 2.4 to 30; 6% of the neurons reacted by the on-response type; 5% of the neurons changed their activity and preserved the new level.
  • (8) The penetration coefficient, determined by the surface tension, contact angle and viscosity, is a measure of the ability of a liquid to penetrate into a capillary space, such as interproximal regions, gingival pockets and pores.
  • (9) The inhibition by DCMU of palmitoylcarnitine oxidation by isolated liver mitochondria was used to calculate a flux control coefficient of the respiratory chain towards gluconeogenesis.
  • (10) Moderately differentiated tumor revealed a wider range of nucleus size, less clustering (coefficient--3.59) and more hyperchromatic (70.1%) and "bare" (49.4%) nuclei and large nucleoli (22.2%).
  • (11) The shading of the optoelectronic system had a coefficient of variation (CV) of 1.42% for measurements in the center of the displayed area, but a CV of 3.55% for measurements over the whole monitor area.
  • (12) Regressional analysis of relations between loads and the level of inbreeding in the Adyg population showed the explicit interrelation between the load of autosomal-dominant diseases and the Fst correlation coefficient being 0.89.
  • (13) A positive correlation was found between the content in the eluted cell fractions of LH and dynorphin-like immunoreactivity with a correlation coefficient and a slope of the regression line close to one.
  • (14) The frequency spectra of transmission coefficients for ultrasound passing through a sheet of gas-filled micropores have been measured using incident waves with amplitudes up to 2.4 x 10(4) Pa.
  • (15) Using the rate coefficient values found by SCoPfit, we simulated a voltage-clamp experiment with both models running under their Na(+)-Na+ exchange mode, and we computed the transient currents generated following voltage steps in both depolarizing and hyperpolarizing directions from a basic potential of -40 mV.
  • (16) This differential absorbance is linear with increasing concentrations of Na2MoO4 and was used to calculate the molar extinction coefficient of molybdochelin at 425 nm (epsilon similar to 6,200).
  • (17) A sedimentation coefficient of 5.6S was also determined.
  • (18) The physical parameters measured are the intensity attenuation and absorption coefficients, the ultrasonic speed, the thermal conductivity, specific-heat capacity and the mass density.
  • (19) Decreasing lipid chain length increased permeability slightly, while variations in pH had only minor effects on the permeability coefficients of the amino acids tested.
  • (20) The present investigation examines the assortative mating coefficients for scales of the Minnesota Multiphasic Personality Inventory (MMPI) from five separate studies.

Covariant


Definition:

  • (n.) A function involving the coefficients and the variables of a quantic, and such that when the quantic is lineally transformed the same function of the new variables and coefficients shall be equal to the old function multiplied by a factor. An invariant is a like function involving only the coefficients of the quantic.

Example Sentences:

  • (1) The difference in HDL and HDL2 cholesterol concentrations between the MI+ and MI- groups or between the MI+ and CHD- groups persisted after adjustment by analysis of covariance for the effect of physical activity, alcohol intake, obesity, duration of diabetes, and glycemic control.
  • (2) We studied the effects of the localisation and size of ischemic brain infarcts and the influence of potential covariates (gender, age, time since infarction, physical handicap, cognitive impairment, aphasia, cortical atrophy and ventricular size) on 'post-stroke depression'.
  • (3) The multiple logistic model, the most commonly used model for the analysis of coronary heart disease studies, does not consider survival time in assessment of the dependent covariates and does not account for the censoring which usually occurs in such studies.
  • (4) However, two methodologic factors might account for the covariation of these 'schizophrenia spectrum' personality traits and measures of brain function.
  • (5) With baseline measures and body mass index controlled for, analyses of covariance showed that adults had greater systolic blood pressure responses than did children; men had greater blood pressure responses to all stressors than did women; and high school boys had greater systolic blood pressure responses than did high school girls.
  • (6) Analysis of covariance of the Test III means (Test II as covariate) yielded significant (p less than .05)F-ratios for Vo2max and R at Vo2max.
  • (7) Second, the commonly drawn analogy between blocking in randomized trials and matching in cohort studies is misleading when one considers the impact of matching on covariate distributions.
  • (8) When rates were covaried for prior violent crime arrests, White House Case subjects with prior arrests had a significantly higher rate of total posthospitalization violent crime arrests than the matched control sample.
  • (9) Genetic parameters were estimated from sire components of variance and covariance obtained from a multiple-trait restricted maximum likelihood procedure.
  • (10) The covariates included in the analysis were age, gender, socioeconomic status, and primary language.
  • (11) Inhibitory ability covaried with victim maturity, and with months spent in a treatment program.
  • (12) An error and covariances analysis shows that the method is robust and accurate enough for autonomous navigation.
  • (13) The comparability of therapeutic effect was also evident within the subset of 81 patients who had adenocarcinoma cell type, although MACC showed a small advantage in survival after covariate analysis.
  • (14) This methodology was used to evaluate possible kinetic isotope effects after the coadministration of an equimolar mixture of ibuprofen and the deuterium-labeled covariant in the beagle.
  • (15) Using an analysis of covariance to have statistical control on age, occupational level and depression, the results were statistically significant on the 0.05 level.
  • (16) Analysis of covariance revealed that the onset of the first ME occurred earlier in Day 10 litters than in Day 4 litters, but litter size had no effect.
  • (17) Furthermore, the approach provides a nice graphical representation of the relationships between the PK-PD parameters and covariates.
  • (18) The analysis can include covariates and risk factors.
  • (19) Analysis proceeded by means of the analysis of covariance with the dental dimorphism indices as the dependent variables.
  • (20) After adjustment for significant covariates (smoking and serum gamma-glutamyl transpeptidase in both sexes, and age and serum ferritin in women), a twofold increase in the Cd concentration in the soil was accompanied by a 6% decrease in blood Cd in men (R2 = 0.03; P = 0.09) and by a 10% decrease in women (R2 = 0.06; P less than 0.01).

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