answersLogoWhite

0

mesokurtic

leptokurtic

platykurtic

User Avatar

Wiki User

13y ago

What else can I help you with?

Continue Learning about Statistics

What is the values of the skewdness and kurtosis coefficient for the normal distribution 0 and 3 respectively?

No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.


What is the relationship between the relative size of the starndard deviation and the kurtosis of a distribution?

It is inversely proportional; a larger standard deviation produces a small kurtosis (smaller peak, more spread out data) and a smaller standard deviation produces a larger kurtosis (larger peak, data more centrally located).


What is kurtosis?

I will answer your question in a couple of ways. First as a concept: Kurtosis is a measure of whether the data are peaked or flat relative to a normal distribution. That is, data sets with high kurtosis tend to have a distinct peak near the mean, decline rather rapidly, and have heavy tails. Data sets with low kurtosis tend to have a flat top near the mean rather than a sharp peak. A uniform distribution would be the extreme case. Now as a mathematical formula: For univariate data Y1, Y2, ..., YN, the formula for kurtosis is:where is the mean, is the standard deviation, and N is the number of data points. You may find more information at this website: http://www.itl.nist.gov/div898/handbook/eda/section3/eda35b.htm


Differentiate the three types of variable?

differentiate the three types of variables from one another


What are the three types of population dispersion?

random, clumping and uniform

Related Questions

What is the values of the skewdness and kurtosis coefficient for the normal distribution 0 and 3 respectively?

No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.


What odes kurtosis mean?

Kurtosis is a measure of the "peakedness" or thickness of the tails of a distribution compared to a normal distribution. A positive kurtosis indicates a distribution with heavier tails and a sharper peak, while a negative kurtosis indicates lighter tails and a flatter peak. Kurtosis helps to understand the shape of a distribution and the likelihood of extreme outcomes.


What does a negative kurtosis mean?

It means distribution is flater then [than] a normal distribution and if kurtosis is positive[,] then it means that distribution is sharper then [than] a normal distribution. Normal (bell shape) distribution has zero kurtosis.


What does the term kurtosis mean?

The Greek word "kurtosis", when translated to English, means the probability theory of any measure of the "peakedness" of a real valued random variable.


Is kurtosis equal to zero?

It can be negative, zero or positive.


What does kurtosis serve?

In probability theory and statistics, kurtosis (from the Greek word κυρτός, kyrtos or kurtos, meaning bulging) is a measure of the "peakedness" of the probability distribution of a real-valued random variable. Higher kurtosis means more of the variance is due to infrequent extreme deviations, as opposed to frequent modestly sized deviations. Sometimes kurtosis gets confused with skewness, so I have added links to both these terms.


What is the relationship between the relative size of the starndard deviation and the kurtosis of a distribution?

It is inversely proportional; a larger standard deviation produces a small kurtosis (smaller peak, more spread out data) and a smaller standard deviation produces a larger kurtosis (larger peak, data more centrally located).


What is the kurtosis of a normal distribution?

For N(0, 1) it is 3.


What is the between skewness and kurtosis?

While skewness is the measure of symmetry, or if one would like to be more precise, the lack of symmetry, kurtosis is a measure of data that is either peaked or flat relative to a normal distribution of a data set. * Skewness: A distribution is symmetric if both the left and right sides are the same relative to the center point. * Kurtosis: A data set that tends to have a distant peak near the mean value, have heavy tails, or decline rapidly is a measure of high kurtosis. Data sets with low Kurtosis would obviously be opposite with a flat mean at the top, and a distribution that is uniform.


What are the differences between a platykurtic a mesokurtic and a leptokurtic distribution?

The kurtosis of a distribution is defined as the fourth central moment divided by the square of the second central moment. Unfortunately, this browser converts Greek characters to the Roman alphabet so I cannot use standard forms of equations but: Suppose that for a random variable X, E(X) = m (mu) and E[(X - E(X))2] = V = s2 (sigma-squared) then Kurtosis = E[(X - E(X))4]/s4. Excess Kurtosis is then Kurtosis - 3. If excess kurtosis < 0 the distribution is platykurtic. They have a peak that is lower than the Normal: the peak is flat and broad. The tails of the distribution are narrow. Uniform distributions are platykurtic. A mesokurtic distibution has excess kurtosis = 0. The Gaussian (Normal) distribution - whatever its parameters - is mesokurtic. The binomial with probability of success close to 1/2 is also considered to be mesokurtic. If excess kurtosis is > 0 the distribution is leptokurtic. Leptokurtic distributions have a high and narrow peak. A good example is the Student's t distribution.


What is kurtosis?

I will answer your question in a couple of ways. First as a concept: Kurtosis is a measure of whether the data are peaked or flat relative to a normal distribution. That is, data sets with high kurtosis tend to have a distinct peak near the mean, decline rather rapidly, and have heavy tails. Data sets with low kurtosis tend to have a flat top near the mean rather than a sharp peak. A uniform distribution would be the extreme case. Now as a mathematical formula: For univariate data Y1, Y2, ..., YN, the formula for kurtosis is:where is the mean, is the standard deviation, and N is the number of data points. You may find more information at this website: http://www.itl.nist.gov/div898/handbook/eda/section3/eda35b.htm


What are the three types of IED's?

What are the three types of IED

Trending Questions
What do you mean by micro statics analysis? What is a sample selected in a such a way that each member of the population has an equal probability of being included? Can the sum of 2 probabilities be greater than 1? Is 116 a good IQ for a woman? You took a equate pregnancy test after 3 minutes there was a very faint positive sign then you took another pregnancy test of a different brand and it was negative what does that mean? If you flip a coin and roll a 6-sided die what is the probability that you will flip a heads and roll at least a 3? When two probabilities are multiplied the probability represents a compound event Is this true or false? Is there a standard deviation button on a calculator? What is the probability of 6 in 30 numbers? What does XI mean in numbers? What if you took plan bmorning after pill after unprotected sex and then a week later had unprotected sex again without the pill does it increase the chances of pregnancy in the second time? When may a safety risk be judged to be acceptable? Relate probability to the study of genetics? Why is preventing std transmission more effective than treating stds? What is the percentage increase from 50000 to 57000? Can you increase your wolf's stats in WolfQuest? What are the advantages and disadvantages of a pie chart? What is the difference between a best fit graph and a line graph? What is the lowest probability an event can have? How many packages of rice would you need to have a million grains of rice?