sphericality love

# sphericality

## Definitions

• n. Sphericity.

### from The Century Dictionary and Cyclopedia

• n. Spherical form; sphericity.

## Etymologies

From spherical +‎ -ity.

## Examples

• Statistical inference The regression model Estimating the model Assumptions on the independence of and X Hypothesis testing Assumptions on the distribution of When the assumptions break down Background reading Assumptions on the distribution of The OLS model assumes that the i are i.i.d., so E () = σ2 In×n (24) The OLS estimator is unbiased even if this "sphericality" assumption is violated, e.g., the errors are not independent or σ2 σ2 for some i, j. i j However, the OLS estimator may not have the lowest variance, among linear unbiased estimators; in the lingo, it is not the best linear unbiased estimator (BLUE).

• If one wishes to argue evolutionary theory is as sure as the sphericality of the Earth, that level of dissent by such a highly educated group absolutely flies in the face of such inflated claims.

Why Do So Many Doctors Accept Evolution? - The Panda's Thumb

• When properties are represented in experience, they are often attributed to ordinary objects: for instance, one may have a visual experience that attributes redness and sphericality to a tomato, or a haptic tactile experience that represents smoothness and cylindricality of a cup in one's hands, or an olfactory experience attributing scents to flowers, or a gustatory experience attributing deliciousness to something one is chewing.

The Contents of Perception

• When I say ˜This is an orange™ I mean that there are here instances of certain properties such as orangeness, sphericality etc., and I indicate that I am operating on my ideas of those instances in a certain combining manner.

Substance

• In short, it would be a mind-blowing exercise to cease to believe in evolution or the sphericality of the earth.

The Evolution of a Proof

• Statistical inference The regression model Estimating the model Assumptions on the independence of and X Hypothesis testing Assumptions on the distribution of When the assumptions break down Background reading Types of departures from the sphericality assumptions Later in the course, we will discuss the two main departures from the sphericality assumption: Heteroscedasticity: σ2 σ2 for some i j. i j Correlated errors: cov (i, j) 0 for some i j.

• She was Pickwickian to the point of near-sphericality.