Paradoxes in economics tend to be the veridical type, typically counterintuitive outcomes of economic theory, such as Simpson's paradox.

While weighted means generally behave in a similar fashion to arithmetic means, they do have a few counterintuitive properties, as captured for instance in Simpson's paradox.

In probability and statistics, Simpson's paradox ( or the Yule – Simpson effect ) is a paradox in which a correlation present in different groups is reversed when the groups are combined.

Many statisticians believe that the mainstream public should be informed of the counter-intuitive results in statistics such as Simpson's paradox.

The name Simpson's paradox was introduced by Colin R. Blyth in 1972.

Since Edward Simpson did not actually discover this statistical paradox, some writers, instead, have used the impersonal names reversal paradox and amalgamation paradox in referring to what is now called Simpson's Paradox and the Yule-Simpson effect.

Critics of the movement, however, point to various discrepancies that result from current state standardized testing practices, including problems with test validity and reliability and false correlations ( see Simpson's paradox ).

The same is true of children born to poor parents, and of children born at high altitude ; these are all examples of Simpson's paradox.

* Simpson's paradox, of which the Low birth weight paradox is an example

* Simpson's paradox, in statistics

* Simpson's paradox

* Simpson's paradox

* Yule – Simpson effect ( a. k. a. Simpson's paradox ) – Edward H. Simpson and Udny Yule

( 1999 ) also criticised Van Howe's paper, stating that his results were a case of " Simpson's paradox, which is a type of confounding that can occur in epidemiological analyses when data from different strata with widely divergent exposure levels are combined, resulting in a combined measure of association that is not consistent with the results for each of the individual strata.

The failure of the consistency criterion can be seen as an example of Simpson's paradox.

Kemp supported rights for illegal immigrants, but opposed Lamar Smith and Alan Simpson's proposed restrictions on legal immigration.

If the areas of the two parallel faces are A < sub > 1 </ sub > and A < sub > 3 </ sub >, the cross-sectional area of the intersection of the prismatoid with a plane midway between the two parallel faces is A < sub > 2 </ sub >, and the height ( the distance between the two parallel faces ) is h, then the volume of the prismatoid is given by ( This formula follows immediately by integrating the area parallel to the two planes of vertices by Simpson's rule, since that rule is exact for integration of polynomials of degree up to 3, and in this case the area is at most a quadratic in the height.

Numerical calculation of the integral using the trapezoidal rule or Simpson's rule is not efficient and becomes numerically unstable especially for configurations with large Fresnel number.

Simpson's Paradox disappears when causal relations are brought into consideration ( see Implications for decision making ).

Simpson's system of taxonomy, however, was far from the first ; taxonomies / descriptions for the classification of intersexuality were developed by Italian physician and physicist Fortuné Affaitati in 1549, French surgeon Ambroise Paré in 1573, French physician and sexology pioneer Nicolas Venette in 1687 ( under the pseudonym Vénitien Salocini ), and French Zoologist Isidore Geoffroy St. Hilaire in 1832.

Or his teleportation device, responsible for switching Bart Simpson's head with that of a housefly?

It concludes that Riviera is a better role model for physicians, whereas Hibbert is a paternalistic and wasteful physician, unlike Riviera, who strives to cut costs and does his best to avoid the coroner, disproving Marge Simpson's claim that he is not a doctor at all.

He is best known for being the most frequent recipient of Bart Simpson's prank calls.

These prank calls were the inspiration for Bart Simpson's repeated prank calls to Moe, and Deutsch's often profane responses inspired Moe's violent temper.

He once arranged Marge Simpson's release after she was arrested for blocking traffic on a bridge after suffering a nervous breakdown, claiming that if she went to jail, Quimby could kiss the " chick vote " goodbye.

The same recording of Simpson's theme was used for the opening titles of all four series of the programme.

Simpson's victory in 1904 coincided with an increased use of the river for leisure.

The King's ministers ( like his family ) found Wallis Simpson's background and behaviour unacceptable for a queen.

Soon after the preliminary hearing in the O. J. Simpson murder case, Simpson's defense team alleged that Fuhrman planted the glove found at Simpson's Brentwood estate as part of a racially motivated effort to frame Simpson for the murders.

In numerical analysis, Simpson's rule is a method for numerical integration, the numerical approximation of definite integrals.

Since the error term is proportional to the fourth derivative of f at, this shows that Simpson's rule provides exact results for any polynomial f of degree three or less, since the fourth derivative of such a polynomial is zero at all points.

Simpson's rule is then applied to each subinterval, with the results being summed to produce an approximation for the integral over the entire interval.

Simpson's 3 / 8 rule is another method for numerical integration proposed by Thomas Simpson.

* Simpson's Rule for Numerical Integration

* Simpson's 1 / 3rd rule of integration-Notes, PPT, Mathcad, Matlab, Mathematica, Maple at Numerical Methods for STEM undergraduate

On television, Fierstein was featured as the voice of Karl, Homer Simpson's assistant, in the " Simpson and Delilah " episode of The Simpsons and the voice of Elmer in the 1999 HBO special based on his children's book The Sissy Duckling, which won the Humanitas Prize for Children's Animation.

Simpson's rule is a staple of scientific data analysis and engineering.

A similar trick appears in Bart Simpson's Guide to Life, where the reader is told in various ways to turn to a certain page to find the meaning of life.

He also appears in Andrew Leavold's Lesbo A Go Go, Nicolas Debot's Extremism Breaks my Balls and Stuart Simpson's El Monstro Del Mar.

In addition to his Taxi work, DeVito voiced Herb Powell, Homer Simpson's half-brother, on two episodes of The Simpsons.

Another derivation constructs Simpson's rule from two simpler approximations: the midpoint rule

The renovation of Simpson's athletic facilities will continue in the future with a proposed design for a new bi-level weight room in the current pool area and two new classrooms in place of the current weight room.

Mike Simpson's goal is to amend title 28, and create the appointment of additional Federal Circuit Judges, to divide the Ninth Judicial Circuit into two smaller judicial circuits.

Lisa Simpson's teacher, who was wearied by all of the reports by the girls of her class about various princesses, said there had been two reports about Princess Ingrid Alexandra.

Gibbs ' Beauforts sank two ships and one of FOS Simpson's submarines sank a third.

Aside from music and romance, the show also chronicles minor but often humorous tribulations of Simpson's life: for example, in episode two she locks her keys in her car, and in episode three she is revealed to be chronically late and she gets lost despite her car having a navigational system, which seems to be of little help.

When the first Michelin Guide to England was published in 1974, no UK restaurant was judged worthy of the maximum three stars, or even two, but Simpson's was one of nine London restaurants, including Le Gavroche, awarded a star.

P. G. Wodehouse devoted several paragraphs of Something New to the restaurant, and in his novel Psmith in the City, his two heroes dine there: " Psmith waited for Mike while he changed, and carried him off in a cab to Simpson's, a restaurant which, as he justly observed, offered two great advantages, namely, that you need not dress, and, secondly, that you paid your half-crown, and were then at liberty to eat till you were helpless, if you felt so disposed, without extra charge.

Simpson's two best friends, Lauren and Stephanie, appear alongside her in the video.

Fairview Pointe-Claire is a single level mall ; only anchors Simpson's, Eaton's and Pascal's have two floors.

Dr Simpson and two of his friends, Drs Keith and Duncan used to sit every evening in Dr Simpson's dining room to try new chemicals to see if they had any anaesthetic effect.

At that time it included two major Canadian department stores, Simpson's and Eaton's.

Two years later, in 1969, Hoban married Simpson's widow, with whom he has a daughter Daniella, and two stepdaughters Jane and Joanna.

During Simpson's long administration ( 1820-1860 ) the two worked closely together, one in London business circles and the other in the wilds of Canada.

Simpson's vocals in the song span over two octaves from the low note of F < sub > 3 </ sub > to the high note of E < sub > 5 </ sub >.