Inferential Statistics for Data Science

Descripción

A basic quiz on Inferential Statistics.
Vishakha Achmare
Test por Vishakha Achmare, actualizado hace más de 1 año
Vishakha Achmare
Creado por Vishakha Achmare hace más de 3 años
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Resumen del Recurso

Pregunta 1

Pregunta
Select the right answer. With the help of inferential statistics, we can :
Respuesta
  • Making conclusions from a sample about the population
  • Conclude if a sample selected is statistically significant to the whole population or not
  • Compare two models to find which one is more statistically significant as compared to the other.
  • We can do feature selection, whether adding or removing a variable helps in improving the model or not.
  • Hypothesis testing.
  • All

Pregunta 2

Pregunta
Standard Error is the amount of variation in the _________ data. It is related to Standard Deviation as σ/√n, where, n is the _________ size.
Respuesta
  • Sample
  • Population

Pregunta 3

Pregunta
A Sampling Distribution is a probability distribution of a statistic (Mean/Median/Mode) obtained through a large number of samples drawn from a specific population.
Respuesta
  • True
  • False

Pregunta 4

Pregunta
A Sampling Distribution behaves much like a normal curve and has some interesting properties like :
Respuesta
  • The shape of the Sampling Distribution does not reveal anything about the shape of the population.
  • Sampling Distribution helps to estimate the population statistic.
  • Both.

Pregunta 5

Pregunta
Central Limit Theorem states that: When plotting a sampling distribution of means, the mean of sample means will be equal to the population mean. And the sampling distribution will approach a normal distribution with variance equal to σ/√n where σ is the standard deviation of population and n is the sample size.
Respuesta
  • False
  • True

Pregunta 6

Pregunta
Greater the sample size, lower the standard error and greater the accuracy in determining the population mean from the sample mean?
Respuesta
  • False
  • True

Pregunta 7

Pregunta
No matter the shape of the population distribution, be it bi-modal, right-skewed, etc. The shape of the Sampling Distribution will remain the same (normal curve)?
Respuesta
  • True
  • False

Pregunta 8

Pregunta
For a sampling distribution: The number of samples has to be sufficient (generally more than 50) to satisfactorily achieve a normal curve distribution. We also have to keep the sample size fixed since any change in sample size will change the shape of the sampling distribution and it will no longer be bell-shaped?
Respuesta
  • False
  • True

Pregunta 9

Pregunta
As we increase the sample size, the sampling distribution squeezes from both sides giving a better estimate of the population statistic since it lies somewhere in the middle of the sampling distribution (generally).
Respuesta
  • False
  • True

Pregunta 10

Pregunta
The confidence interval is a type of interval estimate from the ___________ distribution which gives a range of values in which the population statistic may lie.
Respuesta
  • Sampling
  • Population

Pregunta 11

Pregunta
The margin of error is a statistic expressing the amount of random sampling error in the results of a survey.
Respuesta
  • True
  • False

Pregunta 12

Pregunta
Margin of Error________ the width of Confidence Interval
Respuesta
  • 1/2
  • 1/4th

Pregunta 13

Pregunta
Which of the following points are true for confidence intervals?
Respuesta
  • Confidence Intervals can be built with different degrees of confidence suitable to a user’s needs like 70 %, 90% etc.
  • Greater the sample size, smaller the Confidence Interval
  • There are different confidence intervals for different sample means. For example, a sample mean of 40 will have a different confidence interval from a sample mean of 45.
  • 95% Confidence Interval, does not mean that the probability of a population mean to lie in an interval is 95%. Instead, 95% C.I means that 95% of the Interval estimates will contain the population statistic.
  • All of the above.

Pregunta 14

Pregunta
Hypothesis testing lets us identify ________ statistic to be checked against a _________ statistic or statistic of another sample to study any intervention etc.
Respuesta
  • Sample, Population
  • Population, Sample

Pregunta 15

Pregunta
Null hypothesis is a type of hypothesis in which we assume that sample observations are not by chance. They are affected by some non-random situation. It is denoted by H1 or Ha.
Respuesta
  • True
  • False

Pregunta 16

Pregunta
Alternate Hypothesis is a type of hypothesis in which we assume that the sample observations are purely by chance. It is denoted by H0.
Respuesta
  • True
  • False

Pregunta 17

Pregunta
Hypothesis Testing is done on different levels of confidence and makes use of z-score to calculate the probability.
Respuesta
  • False
  • True

Pregunta 18

Pregunta
For a 95% Confidence Interval, anything above the z-threshold for 95% would reject the null hypothesis.
Respuesta
  • False
  • True

Pregunta 19

Pregunta
Write down the steps to hypothesis testing.
Respuesta
  • write your answer down.
  • check them later after the quiz.

Pregunta 20

Pregunta
The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is ________.
Respuesta
  • True
  • False

Pregunta 21

Pregunta
p-value is the probability of obtaining results at least as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct.
Respuesta
  • True
  • False

Pregunta 22

Pregunta
Low enough p-value is ground for rejecting the null hypothesis. We reject the null hypothesis if the p-value is less than the significance level?
Respuesta
  • False
  • True

Pregunta 23

Pregunta
Type-1 error: Type 1 error is the case when we fail to reject the null hypothesis but actually it is false. The probability of having a type-1 error is called beta(β).
Respuesta
  • False
  • True

Pregunta 24

Pregunta
Type-2 error: Type 2 error is the case when we reject the null hypothesis but in actual it was true. The probability of having a Type-2 error is called significance level alpha(α).
Respuesta
  • True
  • False

Pregunta 25

Pregunta
For Type 1 and Type 2 error: α= P (Null hypothesis rejected | Null hypothesis is true) β= P (Null hypothesis accepted | Null hypothesis is false)
Respuesta
  • True
  • False

Pregunta 26

Pregunta
Power of test is defined as P= 1- Type-2 error = 1 – β Lesser the type-2 error more the power of the hypothesis test.
Respuesta
  • True
  • False

Pregunta 27

Pregunta
For a Z - test: 1. A Z-test is mainly used when the data is normally distributed. 2. We find the Z-statistic of the sample means and calculate the z-score. 3. Z-test is mainly used when the population mean and standard deviation are given.
Respuesta
  • True
  • False

Pregunta 28

Pregunta
T-tests are similar to the z-scores, the only difference being that instead of the Population Standard Deviation, we use the Sample Standard Deviation?
Respuesta
  • True
  • False

Pregunta 29

Pregunta
Z-tests are statistical calculations that can be used to compare population means to a sample's. T-tests are calculations used to test a hypothesis, but they are most useful when we need to determine if there is a statistically significant difference between two independent sample groups.
Respuesta
  • True
  • False

Pregunta 30

Pregunta
The Degree of Freedom is the number of __________that have the choice of having more than one arbitrary value.
Respuesta
  • Variable
  • Sample

Pregunta 31

Pregunta
Select the True statement
Respuesta
  • 1. Greater the difference between the sample mean and the population mean, greater the chance of rejecting the Null Hypothesis.
  • 2. Greater the sample size, greater the chance of rejection of Null Hypothesis.
  • Both

Pregunta 32

Pregunta
One-sample t-test compares the mean of _________ data to a known value.
Respuesta
  • Sample
  • Population

Pregunta 33

Pregunta
Which of the following points are true for One Sample T- test?
Respuesta
  • Determine whether the mean of a group differs from the specified value.
  • Calculate a range of values that are likely to include the population mean.
  • We can run a one-sample T-test when we do not have the population S.D. or we have a sample of size less than 30.
  • All of them.

Pregunta 34

Pregunta
We use a two-sample T-test when we want to evaluate whether the mean of the two independent samples is different or not.
Respuesta
  • False
  • True

Pregunta 35

Pregunta
Two-sample T-test is used to:
Respuesta
  • Determine whether the means of two independent groups differ.
  • Calculate a range of values that is likely to include the difference between the population means.
  • Both

Pregunta 36

Pregunta
Points to be noted for two sample T-test are: 1. The groups to be tested should be __________ 2. The groups’ distribution should not be highly _________.
Respuesta
  • Independent, Skewed
  • Dependent, Normal

Pregunta 37

Pregunta
A Independent Samples t-test compare the means for ______ different groups? Samples are __________ of each other?
Respuesta
  • Two, Independent
  • Same, Dependent

Pregunta 38

Pregunta
A Paired sample t-test compares means from the ______ group at different times? Samples are _________ on each other?
Respuesta
  • Same, Dependent
  • Two, Independent

Pregunta 39

Pregunta
ANOVA is used to determine whether there are any statistically significant differences between the means of ________ independent (unrelated) groups.
Respuesta
  • One
  • Two
  • Three or more

Pregunta 40

Pregunta
A one-way ANOVA has ______ independent variable, while a two-way ANOVA has ______.
Respuesta
  • One, Two
  • Two, One

Pregunta 41

Pregunta
Write down the steps to perform ANOVA.
Respuesta
  • Write down the answers
  • Check them later

Pregunta 42

Pregunta
Practical applications of ANOVA in modeling are:
Respuesta
  • Identifying whether a categorical variable is relevant to a continuous variable.
  • Identifying whether a treatment was effective to the model or not.
  • Both.

Pregunta 43

Pregunta
The Chi-Square Test determines whether there is an association between _______ variables (i.e., whether the variables are independent or related).
Respuesta
  • Categorical
  • Continuous

Pregunta 44

Pregunta
Goodness of fit: It compares two categorical variables to find whether they are related with each other or not.
Respuesta
  • True
  • False

Pregunta 45

Pregunta
Test of Independence: It determines if sample data of categorical variables matches with population or not.
Respuesta
  • True
  • False

Pregunta 46

Pregunta
Regression analysis is a form of predictive modelling technique which investigates the relationship between a ___________ (target) and __________ variable (s) (predictor).
Respuesta
  • Dependent, Independent
  • Independent, Dependent

Pregunta 47

Pregunta
The regression sum of squares describes how well a regression model represents the modeled data. A higher regression sum of squares indicates that the model does not fit the data well?
Respuesta
  • True
  • False

Pregunta 48

Pregunta
A residual sum of squares (RSS) is a statistical technique used to measure the amount of_________ in a data set that is not explained by a regression model.
Respuesta
  • Mean
  • Variance

Pregunta 49

Pregunta
Coefficient of Determination (R-Square): It represents the strength of correlation between two variables?
Respuesta
  • True
  • False

Pregunta 50

Pregunta
Correlation Coefficients are used to measure how strong a relationship is between two variables?
Respuesta
  • True
  • False
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