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Why t-distributions tend to be flatter and more spread out than normal distribution?
Wiki User
∙ 13y ago
T-distributions tend to be flatter and more spread out than normal distributions due to their heavier tails. Unlike the normal distribution, which has thin tails, t-distributions account for uncertainty in sample variance estimation, making them more robust for smaller sample sizes. The additional variability inherent in t-distributions arises from the incorporation of the sample size through the degrees of freedom parameter. As the degrees of freedom decrease, the t-distribution becomes more spread out and flatter, reflecting increased uncertainty and variability in the estimates. This property makes t-distributions well-suited for inferential statistics, particularly when dealing with small sample sizes.
ouma alphonce
Wiki User
∙ 13y agoThe shape of a t distribution changes with degrees of freedom (df). As the the df gets very large the shape of the t distribution will begin to look similar to that of a normal distribution. However, the t distribution has more variability than a normal distribution; especially when the df are small. When this is the case the t distribution will be flatter and more spread out than the normal distributions.
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What standard deviation tells us about a distribution?
It is a measure of the spread of the distribution: whether all the observations are clustered around a central measure or if they are spread out.
What is the difference between a population distribution and sampling distribution?
Population distribution refers to the patterns that a population creates as they spread within an area. A sampling distribution is a representative, random sample of that population.
What does standard deviation tell about distribution and varity?
It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.
How do outliers influence the shape and spread of the data?
Outliers will make give the graph a long tail (or tails). Overall, the graph will be flatter and wider.
What does uneven distribution means?
An uneven distribution means that an area which is uneven to the area beside the area which is uneven
Why in a normal distribution the distribution will be less spread out when the standard diviation of the raw scores is small?
The standard deviation (SD) is a measure of spread so small sd = small spread. So the above is true for any distribution, not just the Normal.
Is the middle spread that is the middle 50 percent of the normal distribution is equal to one standard deviation?
false
What happens in a normal distribution when the means are equal but the standard deviation changes?
The two distributions are symmetrical about the same point (the mean). The distribution where the sd is larger will be more flattened - with a lower peak and more spread out.
What standard deviation tells us about a distribution?
It is a measure of the spread of the distribution: whether all the observations are clustered around a central measure or if they are spread out.
What is a 10 point grading scale?
With a 10 point grading scale the results (of a test etc.) are given a value between 0 and 9 or 1 and 10. If the grading is "on a curve" than the distribution of the various grades is spread on a Gaussian normal distribution.
Is normal distribution symmetrical?
Yes. By definition. A normal distribution has a bell-shaped density curve described by its mean and standard deviation. The density curve is symmetrical(i.e., an exact reflection of form on opposite sides of a dividing line), and centered about (divided by) its mean, with its spread (width) determined by its standard deviation. Additionally, the mean, median, and mode of the distribution are equal and located at the peak (i.e., height of the curve).
What is spread?
In a statistical sense, spread, otherwise known as statistical dispersion, is one of various measures of distribution.
The spread of something over a given study area is?
distribution
What is the difference between a population distribution and sampling distribution?
Population distribution refers to the patterns that a population creates as they spread within an area. A sampling distribution is a representative, random sample of that population.
What is the definition of spread math?
Spread, in the context of a probability distribution, is a measure of how much the data vary about their central value.
What does standard deviation tell about distribution and varity?
It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.
What is population geographic distribution?
It is the amount of population spread throughout an area.
