Statistics
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Basic Interview Questions on Statistics
1. What criteria do we use to determine the statistical importance of an instance?
The statistical significance of insight is determined by hypothesis testing. The null and alternate hypotheses are provided, and the p-value is computed to explain further. We considered a null hypothesis true after computing the p-value, and the values were calculated. The alpha value, which indicates importance, is changed to fine-tune the outcome. The null hypothesis is rejected if the p-value is smaller than the alpha. As a consequence, the given result is statistically significant.
2. What are the applications of long-tail distributions?
A long-tailed distribution is when the tail progressively diminishes as the curve progresses to the finish. The usage of long-tailed distributions is exemplified by the Pareto principle and the product sales distribution, and it's also famous for classification and regression difficulties.
3. What is the definition of the central limit theorem, and what is its application?
The central limit theorem asserts that when the sample size changes without changing the form of the population distribution, the normal distribution is obtained. The central limit theorem is crucial since it is commonly utilized in hypothesis testing and precisely calculating confidence intervals.
4. In statistics, what do we understand by observational and experimental data?
Data from observational studies, in which variables are examined to see a link, is referred to as observational data. Experimental data comes from investigations in which specific factors are kept constant to examine any disparity in the results.
5. What does mean imputation for missing data means? What are its disadvantages?
Mean imputation is a seldom-used technique that involves replacing null values in a dataset with the data's mean. It's a terrible approach since it removes any accountability for feature correlation. This also indicates that the data will have low variance and a higher bias, reducing the model's accuracy and narrowing confidence intervals.
6. What is the definition of an outlier, and how do we recognize one in a dataset?
Data points that differ significantly from the rest of the dataset are called outliers. Depending on the learning process, an outlier can significantly reduce a model's accuracy and efficiency.
Two strategies are used to identify outliers: Interquartile range (IQR) Standard deviation/z-score
7. In statistics, how are missing data treated?
In Statistics, there are several options for dealing with missing data:
Missing values prediction
Individual (one-of-a-kind) value assignment Rows with missing data should be deleted Imputation by use of a mean or median value Using random forests to help fill in the blanks
8. What is exploratory data analysis, and how does it differ from other types of data analysis?
Investigating data to comprehend it better is known as exploratory data analysis. Initial investigations are carried out to identify patterns, detect anomalies, test hypotheses, and confirm correct assumptions.
9. What is selection bias, and what does it imply?
The phenomenon of selection bias refers to the non-random selection of individual or grouped data to undertake analysis and better understand model functionality. If proper randomization is not performed, the sample will not correctly represent the population.
10. What are the many kinds of statistical selection bias?
As indicated below, there are different kinds of selection bias: Protopathic bias
Observer selection
Attrition Sampling bias Time intervals
11. What is the definition of an inlier?
An inlier is a data point on the same level as the rest of the dataset. As opposed to an outlier, finding an inlier in a dataset is more challenging because it requires external data. Outliers diminish model accuracy, and inliers do the same. As a result, they're also eliminated if found in the data. This is primarily done to ensure that the model is always accurate.
13. Describe a situation in which the median is superior to the mean.
When some outliers might skew data either favorably or negatively, the median is preferable since it offers an appropriate assessment in this instance.
14. Could you provide an example of a root cause analysis?
As the name implies, root cause analysis is a problem-solving technique that identifies the problem's fundamental cause. For instance, if a city's greater crime rate is directly linked to higher red-colored shirt sales, this indicates that the two variables are positively related. However, this does not imply that one is responsible for the other.
A/B testing or hypothesis testing may always be used to assess causality.
15. What does the term "six sigma" mean?
Six sigma is a quality assurance approach frequently used in statistics to enhance procedures and functionality while working with data. A process is called six sigma when 99.99966 percent of the model's outputs are defect- free.
16. What is the definition of DOE?
In statistics, DOE stands for "Design of Experiments." The task design specifies the data and varies when the independent input factors change.
17. Which of the following data types does not have a log-normal or Gaussian distribution?
There are no log-normal or Gaussian distributions in exponential distributions, and in reality, these distributions do not exist for categorical data of any kind. Typical examples are the duration of a phone call, the time until the next earthquake, and so on.
18. What does the five-number summary mean in Statistics?
As seen below, the five-number summary is a measure of five entities that encompass the complete range of data:
Upper quartile (Q3) High extreme (Max) Median
Low extreme (Min) The first quartile (Q1)
19. What is the definition of the Pareto principle?
The Pareto principle, commonly known as the 80/20 rule, states that 80% of the results come from 20% of the causes in a given experiment. The observation that 80 percent of peas originate from 20% of pea plants on a farm is a basic example of the Pareto principle.
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