Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, Python, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

Best MCQs on Index Numbers Quiz 2

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The post is about McQs on Index Numbers Quiz with Answers. There are 20 multiple-choice questions covering index numbers, price index numbers, weighted index numbers, and chain-based methods. Let us start with MCQs on the Index Numbers Quiz.

MCQs about Index Numbers

1. In Laspeyre’s Price Index, the quantities use weight related to

 
 
 
 

2. The index numbers used to measure the changes in the price of commodities is called

 
 
 
 

3. Consumer’s price index numbers are calculated by:

 
 
 
 

4. The index number for the base year is

 
 
 
 

5. In chain base methods the base period is:

 
 
 
 

6. Which of the following price indices are prepared by the Federal Bureau of Statistics?

 
 
 
 

7. $P_{on} = \frac{\Sigma p_n q_n}{\Sigma p_0 q_n}\times 100$ is the formula of:

 
 
 
 

8. The weights used in a quantity index are:

 
 
 
 

9. The Basic types of index numbers are:

 
 
 
 

10. The time reversal test is satisfied by

 
 
 
 

11. The weights used in a quantity index are

 
 
 
 

12. All values of equal importance are used in calculating an index, the index is called:

 
 
 
 

13. A relative obtained by dividing the price in a given year by the price in the proceeding year and expressed as a percentage is called:

 
 
 
 

14. The variation in two or more variables studied by the index is called:

 
 
 
 

15. Theoretically best average used in the construction of a composite index is

 
 
 
 

16. An index number that can serve many purposes is called

 
 
 
 

17. A relative obtained by dividing the price in a given year price in the base year and expressed as a percentage is called:

 
 
 
 

18. In simple price index numbers, the base period is

 
 
 
 

19. For calculating weighted index numbers, which of the following methods are useful quantities consumed in the base period as weight:

 
 
 
 

20. Commodities subject to considerable price variations can best be measured by a

 
 
 
 

MCQs on Index Numbers Quiz

MCQs on Index Numbers Quiz

  • All values of equal importance are used in calculating an index, the index is called:
  • The Basic types of index numbers are:
  • The weights used in a quantity index are:
  • A relative obtained by dividing the price in a given year price in the base year and expressed as a percentage is called:
  • A relative obtained by dividing the price in a given year by the price in the proceeding year and expressed as a percentage is called:
  • In simple price index numbers, the base period is
  • In chain base methods the base period is:
  • For calculating weighted index numbers, which of the following methods are useful quantities consumed in the base period as weight:
  • $P_{on} = \frac{\Sigma p_n q_n}{\Sigma p_0 q_n}\times 100$ is the formula of:
  • The time reversal test is satisfied by
  • The index number for the base year is
  • An index number that can serve many purposes is called
  • The index numbers used to measure the changes in the price of commodities is called
  • Consumer’s price index numbers are calculated by:
  • The variation in two or more variables studied by the index is called:
  • In Laspeyre’s Price Index, the quantities use weight related to
  • Commodities subject to considerable price variations can best be measured by a
  • The weights used in a quantity index are
  • Theoretically best average used in the construction of a composite index is
  • Which of the following price indices are prepared by the Federal Bureau of Statistics?
MCQs On Index Numbers Quiz Statistics MCQs with Answers

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Incomplete Block Design: A Quick Guide

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When the block size is less than the number of treatments to be tested is known as an incomplete block design (IBD). Yates introduced incomplete block designs to eliminate the heterogeneity when the number of treatments becomes very large.

It is known that the precision of the estimate of a treatment effect depends on the number of replications of the treatment, that is, the larger the number of replications, the more the precision. A similar criterion holds for the precision of estimating the difference between two treatment effects. If two treatments occur together in a block, then we say that these are replicated once in that block.

Different patterns of values of the numbers of replications or different pairs of treatments in a design have given rise to different types of incomplete block designs.

The randomized block designs in which every treatment is not present in every block then these designs are known as randomized incomplete block designs. The choice of incomplete block designs depends on factors such as the number of treatments.

Examples of Incomplete Block Designs

Example 1: When the set of treatments is larger than the block size, we use incomplete block designs. Suppose, we want to test the quality of six tires on a given car only 4 tires can be tested, such a block would be incomplete, as it is not possible to test all 6 tires on a given car at once.

Example 2: Consider a study comparing the effectiveness of three fertilizers ($A$, $B$, and $C$) on crop yield. If there are 12 experimental plots, a BIBD with 4 blocks of 3 plots each could be used. Each fertilizer would appear in 4 blocks, and each pair of fertilizers would appear together in 2 blocks.

Example 3: A pharmaceutical company wants to compare the effectiveness of four new drugs for treating a disease. Due to ethical considerations, patients cannot receive all four drugs. An IBD can be used to assign the drugs to different groups of patients, ensuring that each drug is tested against a variety of patient characteristics.

Incomplete block design

Using an IBD, the experimenter can control for variability between plots while still comparing the effects of the fertilizers.

Types of Incomplete Block Designs

The following are types of incomplete block design:

  • Balanced Incomplete Block Designs (BIBDs):
    • Each treatment appears in an equal number of blocks.
    • Each block contains an equal number of experimental units.
    • Every pair of treatments appears together in an equal number of blocks.
  • Partially Balanced Incomplete Block Designs (PBIBDs):
    • Similar to BIBDs but with a more relaxed constraint on the number of times pairs of treatments appear together.
  • Cyclic Designs:
    • A special type of BIBD where the treatments are arranged in a cyclic order within each block.

    Advantages and Disadvantages of IBDs

    • Advantages:
      • Reduced Experiment Size: IBD can require fewer experimental units compared to complete block designs.
      • Feasibility: IBD can be more practical when it is difficult or impossible to apply all treatments to every experimental unit.
    • Disadvantages:
      • Increased Complexity: Analysis can be more complex compared to complete block designs.
      • Reduced Efficiency: May not be as efficient as complete block designs in terms of precision.

    Applications of IBD

    • Agricultural Experiments: Testing different crop varieties or fertilizer treatments.
    • Industrial Experiments: Evaluating different manufacturing processes or materials.
    • Medical Research: Comparing the effectiveness of different treatments for a disease.

    Analysis of IBD

    • Hypothesis Testing: Testing hypotheses about the effects of treatments.
    • Estimation of Treatment Effects: Estimating the differences between treatment effects.
    • Analysis of Variance (ANOVA): IBD Can be used to assess the effects of treatments and blocks.
    • Least Squares Estimation: IBD is used to estimate treatment effects and block effects.
    • Tukey’s HSD: IBD can be used for multiple comparisons to identify significant differences between treatments.

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    Best MCQs Quality Control 1

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    The post is about MCQs Quality Control. There are 20 multiple-choice questions from control charts, process control, basics of statistical quality control, control limits, R charts, P Charts, and C charts. Let us start with the MCQs Quality Control Quiz.

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    MCQs Quality Control

    MCQs Quality Control
    • Variations in the items produced in a factory may be due to
    • Chance or random variation in the manufactured product is:
    • Variation due to assignable causes in the product occurs due to:
    • The faults due to assignable causes:
    • Control charts in statistical quality control are meant for
    • Control charts consist of
    • The chart is used to deal with the characteristics that are not possible to measure but can be observed as absent or present in the product
    • To control the quality of a specific resistance of a wire, one can use
    • The chart is applicable when the quality of the product is a discrete  variable
    • The control limits for $\overline{X}$-chart is
    • The control limits for the R-chart is
    • The control limits for the P-chart is
    • Statistical quality control methods are extensively used in the industrial production process because of
    • For a normal population, the probability of any point falling outside the 3-$\sigma$ control line is
    • The control limits for C-chart is
    • The natural variability of a process is measured by
    • Which chart type will be used to plot the number of defectives in the output of any process?
    • Process control is carried out
    • The central tendency of a process is observed through
    • The process capability is calculated as
    MCQs Quality Control Statistics Quiz

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    Best MCQs Time Series Analysis Quiz 4

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    The post is about the Time Series Analysis Quiz. There are 20 multiple-choice questions related to moving averages, components of time series, Time series analysis, Arima model, and moving average model. Let us start the Time Series Analysis Quiz.

    Please go to Best MCQs Time Series Analysis Quiz 4 to view the test

    Time Series Analysis Quiz

    Time Series Analysis Quiz
    • The moving averages in a time series are free from the influence of:
    • Seasonal variation means the variation occurring within:
    • The time series analysis helps to
    • The moving average method suffers from:
    • The secular trend is indicative of long-term variation towards:
    • Link relatives in a time series remove the influence of
    • Residual methods for measuring cycles in a time series consist of:
    • The component of a time series that is attached to short-term variation is:
    • The general decline in sales of a product is attached to the component of the time series:
    • The linear trend of a time series indicates towards:
    • The component of a time series attached to long-term variations is termed as:
    • Time series analysis helps to:
    • Irregular variations in a time series are caused by:
    • The best method for finding out seasonal variation is:
    • The forecasts on the basis of a time series are:
    • What does seasonality in data refer to?
    • Which of the following is a key step in the ARIMA modeling process?
    • In an ARIMA model, what does the “MA” part of the acronym ARIMA represent?
    • Which of the following is a key limitation of the Moving Average (MA) model?
    • In a Moving Average (MA) model, what does the “order q” represent?
    Time Series Analysis Quiz

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