Although Mann and Whitney developed the MWW test under the assumption of continuous responses with the alternative hypothesis being that one distribution is stochastically greater than the other, there are many other ways to formulate the null and alternative hypotheses such that the MWW test will give a valid test.

Overall, the robustness makes the MWW more widely applicable than the t test, and for large samples from the normal distribution, the efficiency loss compared to the t test is only 5 %, so one can recommend MWW as the default test for comparing interval or ordinal measurements with similar distributions.

; Efficiency: When normality holds, MWW has an ( asymptotic ) efficiency of or about 0. 95 when compared to the t test.

For distributions sufficiently far from normal and for sufficiently large sample sizes, the MWW can be considerably more efficient than the t.

For small sample sizes one should investigate the power of the MWW vs t.

In statistics, the Mann – Whitney U test ( also called the Mann – Whitney – Wilcoxon ( MWW ) or Wilcoxon rank-sum test ) is a non-parametric statistical hypothesis test for assessing whether one of two samples of independent observations tends to have larger values than the other.

Under more strict assumptions than those above, e. g., if the responses are assumed to be continuous and the alternative is restricted to a shift in location ( i. e. F < sub > 1 </ sub >( x ) = F < sub > 2 </ sub >( x + δ )), we can interpret a significant MWW test as showing a difference in medians.

Under this location shift assumption, we can also interpret the MWW as assessing whether the Hodges – Lehmann estimate of the difference in central tendency between the two populations differs from zero.

A mix of light strikes, basic submissions and traditional folk wrestling, the style stemmed from traditional pankration and was later incorporated in early MWW events.

`` I will give Mr. Roy his due for this dive.

Let me set the record this time, and let me get back OK, so the German will give me the exclusive.

There are ghostly scenes in which the little boy on his rocking horse rocks madly toward the climax that will magically give him the name of the winning horse.

Then will you give me a visa to re-enter France ''??

If otherwise, you will give me a pleasure.

Altogether, the list will give us considerable variety in attitudes and some typical ones, for these critics range all the way from censors to those who consider art above ethics, all the way from Plato to Poe.

They will -- when they give up the donkey and the elephant.

If they give him advice when he asks it, or if they perform specified duties under his direction, the nature of the U. N. will not of necessity change.

But there will be still other countries where, despite the inadequacy of the level of self-help, we shall deem it wise, for political or military reasons, to give substantial economic assistance.

It has been correctly pointed out by well-informed people in the industry that it is probably unrealistic to expect a continuation of the yearly growth of 15% or better that characterized the decade of the 1950's, and that our military markets may be entering upon a new phase in which procurement of multiple weapons systems will give way to concentration of still undeveloped areas of our defense capability.

As I have indicated above, I base this feeling on a belief that current weakness in the market for consumer durable goods may continue through the early months of the year, but will give way to a sufficiently strong recovery later on to bring the full-year figures close to those of 1960 ; ;

Forces will survive a surprise attack, and these forces will give depth, or considerable duration, to the conflict.

If you walk into the ring because it is fun to show your dog, he will feel it and give you a good performance!!

Dimensions in inches, and fractions of inches will give the displacement in cubic inches.

Dimensions in centimeters and fractions of centimeters will give the displacement in cubic centimeters ( cc. ).

If companies will take the time to give objective consideration to their major problems and to the questions they provoke, then a long constructive step will have been taken toward more effective marketing in next decade.

A little investigation by telephone or reading the travel ads in the newspapers and magazines will give you these pertinent details on the additional money-saving benefits.

Observations of the radio emission of a planet which has an extensive atmosphere will probe the atmosphere to a greater extent than those using shorter wave lengths and should in some cases give otherwise unobtainable information about the characteristics of the solid surface.

They also give information which will aid in the design of a more satisfactory instrument for the measurement of the normal pressures.

In the family's own words ( during the third of twelve visits ), they had `` reached the crisis peak -- either the situation will give or we will break ''!!

The formula for computing random addresses from the form of each occurrence will not give a distinct address for each distinct form.

They will give suggestions that can be worked up into field procedures.

`` At 200, 300, 400 feet under the water, when he must be paying very much attention, he will be thinking about what you are telling him.

The very nature of a choice so grounded in distinction and fact leads to the valid convictions which become force of will in the manifest leader.

Our understanding will very probably require both these commentaries.

`` It will be very cold ''.

Citing the advances of Communist power in recent years, Sir Anthony observed: `` This very grave state of affairs will continue until the free nations accept together the reality of the danger that confronts them and unite their policies and resources to meet it ''.

In the interim between now and next year, we trust the House and Senate will put their minds to studying Georgia's very real economic, fiscal and social problems and come up with answers without all the political heroics.

Gen. Maxwell Taylor's statement in Saigon that he is `` very much encouraged '' about the chances of the pro-Western government of Viet Nam turning back Communist guerrilla attacks comes close to an announcement that he will not recommend dispatching United States troops to bolster the Vietnamese Army.

Hansen will be getting a late spring training start, which might very well set him back.

Having hedged its bets in this way, PHS apparently decided it would be possible to make some sort of determination after all: `` At present radiation levels, and even at somewhat higher levels, the additional risk is slight and very few people will be affected ''.

`` Unless the oyabun has been working on it '', he said, then checked himself and added: `` You can tell Kayabashi-san that the back road is in very good condition and will be quite safe for his party to use ''.

`` Fanny and Mrs. Godwin will probably be glad to hear that Mary has safely recovered from a very favorable confinement, and that her child is well ''.

With this enlarged role in mind, I should like to make a few suggestions: What we in the United States do or do not do will make a very large difference in what happens in the rest of the world.

Aeschbacher's work is very much akin to Schnabel's, but the sound on his Decca disc is dated, and you will have a hard time locating a copy of it.

A visit in the early spring after a thaw will be very informative.

Ask any group of ballerinas to do ten push-ups or three chin-ups and the results, considering the amount of physical training they have had, will be very disappointing.

The expectation is that first-level supervisors will be selected in approximately equal numbers from the second and third engineering level, with very few coming from the first level.

However, whether you arrange to have a European or American model, if you rent a car with the proper seating capacity in relation to the number of people in your party, your transportation expense will average very close to $10.00 per day per passenger.

In time, these minor manifestations will multiply and effloresce, riddling you with frambesia, the king's evil, sheep rot, and clonic spasm, until your very existence becomes a burden and you cry out for release.

Likewise, a charged particle will tend to stick to an uncharged surface and vice versa, and a charged particle will be very strongly attracted to a surface exhibiting an opposite charge.

In small-town people are very friendly dominant stress will generally be on the complement very friendly ; ;

Later it developed that the Soviets had a very different interpretation of democracy, which will be discussed later, and their judgment never told them that the Big Three should unite in establishing democratic conditions, as we understand them, within their zone of influence.

One upward-mobile teacher may be a hard taskmaster for lower-class pupils because she wants them to develop the attitudes and skills that will enable them to climb, while another upward-mobile teacher may be a very permissive person with lower-class pupils because he knows their disadvantages and deprivations at home, and he hopes to encourage them by friendly treatment.

The fact seems to be that very many large branch stores are uneconomical, that the choice of location in the suburbs is as important as it was downtown, and that even highly suburbanized cities will support only so many big branches.