frequency distributions Flashcards

1
Q

What is frequency distribution?

A

It is a variable that represents the observations with regards to the frequencies of values within the entire range of the values.

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2
Q

What are the 3 properties of a distribution?

A

Central tendency, spread or dispersion, and shape of distribution

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3
Q

What is central tendency?

A

The constant.

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4
Q

What is spread or dispersion?

A

The consistent spread

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5
Q

What is the shape of distribution?

A

The symmetric, skewed, positive, negative, uniform, symmetric etc. uniform is the same height, skewed positive and negative, symmetric is normal like a pyramid.

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6
Q

What are the 2 types of departures which affects normality?

A

Skewness- asymmetry and kurtosis, the measure of flatness.

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7
Q

What is normal distribution?

A

When the graph has the right bell shape to it, it is normal distribution. This area has to add to 100%.

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8
Q

What is standard normal distribution?

A

Mean of 0, and a standard deviation of 1.

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9
Q

What are confidence intervals?

A

The sample means are normally distributed around the population mean with a standard error of the equation. Ox = O over root of n

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10
Q

What are the discrete distribution?

A

Binomial (Bernoulli, uniform, hypergeometric), poisson (negative, binomial, zero-inflated)

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11
Q

when do you used discrete distribution?

A

This type of distribution is when: you have applied binary data, each of the n trials have 2 possible outcomes, each trial has the same probability of success, and the probability failure is 1.

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12
Q

what is Bernoulli distribution ?

A

Bernoulli distribution is a special case of binomial distribution, where there is a single experiment. Eg. Flip of a coin

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13
Q

what is uniform distribution?

A

Uniform: when there are multiple outcomes with equal probability

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14
Q

what us hypergeometric distribution?

A

Hypergeometric: binomial distribution without replacement. Where individuals are removed from the population and not replaced.

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15
Q

what is poisson distribution?

A

Poisson: describes the number of events occurring in a given time period or space. Occurrences are random and independent. Can be used to explore the form of distribution and test for randomness.

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16
Q

what is negative binomial distribution?

A

Negative binomial: variation of the poisson distribution. Used to describe clumped populations where there is an inherent approbation. Zero-inflated poisson- anther variation of poisson distribution, used when there is an excess of zero counts in the data.

17
Q

What are continuous distributions?

A

Uniform chi-squared, student t test, exponential, bimodal, and multimodal.

18
Q

what is chi squared distribution?

A

What is the chi-squared? Distribution of the sum of squares or normally distributed values. Asymmetric, varies from 0 to infinity.

19
Q

what is student t test distribution?

A

Student t test: flatter and longer. Basis of student t test- distribution of the derivations from the mean divided by the sample standard error.

20
Q

what is exponential distribution?

A

Exponential: represents constant probability of increase

21
Q

what is bimodal distribution?

A

Bimodal: distribution with 2 modes. Useful for population where there is distinct separation.

22
Q

what is multimodal distribution?

A

Multimodal: distribution with multiple modes.