Short notes points





These are frequently asked questions in the subject: Probability and Statistics, Decision Science, Probability and research methodology. Step by step writings on these topics will be provided on this blog.
Write a short note on the following-
  • 1.   Regression models: Abuse of linear regression model
2.     Hypothesis Alternative
3.       ANOVA : Application of F-Distribution
4.     ANOVA One way
5.     ANOVA three way
6.     ANOVA two way
7.     ANOVA types
8.     ANOVA with example.
9.       Basic principles of design of experiments
10.  Baye’s theorem
11.   Binomial Distribution
12.  Binomial distribution formula
13.  Presentation: Box plot method and use
14.   Central limit theorem
15.  Central tendency
16.   Chi-square test
17.  Chi-square test as a test of independence
18.  Coefficient of correlation
19.  Coefficient of variance
20.   Completely randomized design and its limitations
21.  Confidence interval
22.   Confidence interval for mean of paired observations
23.  Confidence interval: Use in statistical process
24.  Correlation analysis
25.  Correlation multiple
26.   Countably infinite sample space
27.   Covariance of random variables
28.  Critical region and p-value
29.   Cybersheffs  theorem
30.  Deign of Experiments
31.  Dependent and independent variable
32.  Describe the procedure of hypothesis testing of means when the population standard deviation is known and not known
33.  Design of experiments: Significance, Use
34.  Discrete and continuous probability Distribution
35.  Presentation: Dot diagram, Histogram-Use
36.  Estimation of means at an welding shop
37.  Euclidian space
38.  Events:
39.  Explain the situations or conditions for which the following probability distributions are appropriate: a) Poisson b) Normal c) Binomial d) Exponential and e) Geometric
40.  Exponential distribution
41.  Financial analysis using statistical methods
42.   Finite and infinite sample space
43.   General form of a contingency table analysis
44.  Geometric distribution and its application
45.  Give an example which for the following types of sample space. Mention the experiment and the sample space. (1)   Finite sample space (2)   Countable infinite sample space
46.  Goodness of fit testing the appropriateness of a distribution
47.  Hypothesis testing methodology
48.   Independent sample test
49.  Is it safe to drive at higher speed on national highway?
50.  Law of large numbers
51.  Level of confidence
52.  Level of significance
53.   Marginal distribution
54.  Mathematical expectations and its application
55.   Mathematical expectations and its applications
56.  Mathematical model in conducting random experiments: relevance and importance
57.   Mean deviation of grouped data and its advantages
58.   Measures of dispersion and their relative merits
59.  Moment generating functions and its applications
60.   Nonparametric Statistics
61.   Normal approximation for Binomial distribution
62.   Normal Distribution
63.  Hypothesis: Null
64.  Ogive curve Less than and more than type
65.  One sample test and two sample test
66.   Paired t-Test and its applications Dependent sample test ( Matched paired test or before and after test)
67.   Parametric type tests
68.  Point and interval estimate
69.  Poisson approximation to the binomial distribution
70.  Poisson distribution : method of fitting distribution
71.  Poisson distribution and its application
72.  Poisson distribution Characteristics
73.   Central limit theorem: Practical use
74.  SPSS package: features, applications, advantages and limitations.
75.   Principle of least square and its significance
76.  Probability: Concept and Types
77.  Probability density function
78.  Probability estimation using sample space
79.  Probability mass function
80.   Probability mass function and probability density function
81.  Probability: Addition and multiplication theorems
82.  Probability: Joint , Marginal and conditional
83.   Randomized block design and its limitations
84.  Rank coefficient of correlation
85.  Regression analysis: Explain
86.  Regression Multiple
87.  Regression: Fitting trend line
88.   Residual analysis: Explain
89.  Sample space: definition, concept, use, definite sample space, Examples
90.  Sampling distribution
91.   Sampling distribution of means
92.   Presentation: Scatter plot and their interpretation
93.   Small sample test
94.  Standard errors estimate: shortcut method
95.  Statistical theory, practical use for industrial engineers
96.   Steps involved in performing Hypothesis testing
97.  Time series : Decomposition of a trend
98.  Time series Analysis cyclic variation,
99.  Time series Analysis Irregular variation
100.                Time series Analysis- methods, advantages and disadvantages
101.                Time series Analysis seasonal variations
102.                Time series: Trend analysis
103.                Two sample test for proportion
104.                        Two tailed and one tailed test
105.                        Type I and Type II error
106.                        Types of sampling errors
107.                Write the formulas for mean and variance for a discrete random variable and describe them
108.                      Sample space: Infinite
109.                Data: Types
110.                Data collection methods
111.                Replication, Randomization and Local control

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