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62 Cards in this Set
- Front
- Back
Inspired by a game of chance |
Probability Theory |
|
The first mathematical analysis of game of chance in 16th century is by _______________ in 1565 |
Gerolamo Cardano |
|
He was accused as heretic |
Gerolamo Cardano |
|
Theory of probability is discovered by three people |
Pierre de Fermat Blaisse Pascal Christiaan Huyghens |
|
He is a closed friend of Pascal and a notorious gambler who initiated study of Probability Theory by posing a gambling problem that offered a real challenge to mathematicians |
C. de Mere |
|
He is a young Dutchman who learned the results of Fermat and Pascal and write a book about it |
Christiaan Huyghens |
|
Title of the book of Huyghens |
How to Reason a Dice Game |
|
This book represents the real beginning of probability theory as a mathematical subject |
How to Reason in Dice Game |
|
True or False: The development of Probability Theory lead to Inferential Statistics |
False |
|
_____________ was then the art of deducing estimates and properties of quantities which cannot be observed directly |
STATISTICS |
|
He is an English tradesman and haberdasher of small wares published the book “Natural and Political Observations upon Bills of Mortality” |
John Graunt |
|
In the book of John Graunt about “Natural and Political Observations upon Bills of Mortality”, he applied the bills to estimate ____(1)_____, _____(2)______, _____(3)______ to recover the former population level after plague epidemic |
1) Birth mortality 2) Number of inhabitants 3) Number of years |
|
What is the first significant development in the theory of statistics? |
The study of methods in making inferences from data |
|
The study of methods in making inferences from data is by ____(1)_____ and _____(2)_____ |
1) Francis Galton 2) Karl Pearson |
|
It means science of states |
Statistics |
|
[Under Inferential Statistics] Who aere the mathematicians behind the first development? |
Francis Galton Karl Pearson |
|
[Under Inferential Statistics] Give three advances invented/studied in the first period. |
1) Standard Deviation 2) Correlation Coefficient 3) Chi-square test |
|
[Under Inferential Statistics] The second period of development in 1915 consists of the works of __________ |
R.A. Fisher |
|
[Under Inferential Statistics] Give one contribution of RA Fisher |
Analysis of variance |
|
[Under Inferential Statistics] During the third period in 1928, a joint papers by _________ and ___________ was published |
Jerzy Neyman Egon Pearson |
|
[Under Inferential Statistics] These papers introduced and emphasized concepts such as: a) Type II error, Power of test, and Confidence Intervals |
Joint papers by Jerzy Neyman and Egon Pearson |
|
It is the period when industry began ti make widespread application of statistical techniques especially quality control |
Third period |
|
[Under Inferential Statistics] The fourth period began about 1939 with the work of _________ |
Abraham Wald |
|
Abraham Wald’s work is about _____________ |
Statistical Decision Theory |
|
[Under Inferential Statistics] This is an introduction of a new way of looking at statistical problems |
Statistical Decision Theory |
|
Aside from science of states, what is the other meaning of Statistics? |
Political arithmetic |
|
[Under Inferential Statistics] From this point of view, statistics is regarded as the art of playing a game with nature as the opponent |
Statistical Decision Theory |
|
What was invented in 1940’s that had an impact on statistics |
Electronic computers |
|
[Under Inferential Statistics] What made the use of statistical techniques practical? |
Computers |
|
[Conclusion] One example why statistical theory and practice continues to be an important area of research |
Vast amount of polling which accompanies modern elections shows statistics become a central part of modern life |
|
When is the first mathematical analysis of game of chance? |
16th century |
|
C. De Mere initiated the study of Probability Theory by what? |
By posing a gambling problem |
|
This book represents the real beginning of probability theory as a mathematical subject |
How to Reason in Dice Game |
|
After the publication of the book of Huyghens in 1655, a decade of astonishing activity and progress followed on what years? |
1708-1718 |
|
During 1708-1718, the results of Fermat, Pascal, and Huyghens were developed into ___________ |
Coherent theory of probability |
|
Give three statistical topics discussed after a decade or progress in statistics |
1) conditional probability 2) combinatorics 3) expectations |
|
After the decade of astounding activity and progress, the period of ________ were taken by the following generations of mathematicians and given solution until today |
Consolidation |
|
[Under Inferential Statistics] What is the first significant development in late 19th and early 20th century? |
The study of methods in making inferences from data |
|
It means science of states |
Statistics |
|
[Under Inferential Statistics] Who aere the mathematicians behind the first development? |
Francis Galton Karl Pearson |
|
[Under Inferential Statistics] Give three advances invented/studied in the first period. |
1) Standard Deviation 2) Correlation Coefficient 3) Chi-square test |
|
[Under Inferential Statistics] The second period of development in 1915 consists of the works of __________ |
R.A. Fisher |
|
[Under Inferential Statistics] Give one contribution of RA Fisher |
Analysis of variance |
|
[Under Inferential Statistics] During the third period in 1928, a joint papers by _________ and ___________ was published |
Jerzy Neyman Egon Pearson |
|
[Under Inferential Statistics] These papers introduced and emphasized concepts such as: a) Type II error, Power of test, and Confidence Intervals |
Joint papers by Jerzy Neyman and Egon Pearson |
|
It is the period when industry began ti make widespread application of statistical techniques especially quality control |
Third period |
|
[Under Inferential Statistics] The fourth period began about 1939 with the work of _________ |
Abraham Wald |
|
Abraham Wald’s work is about _____________ |
Statistical Decision Theory |
|
[Under Inferential Statistics] This is an introduction of a new way of looking at statistical problems |
Statistical Decision Theory |
|
Aside from science of states, what is the other meaning of Statistics? |
Political arithmetic |
|
[Under Inferential Statistics] From this point of view, statistics is regarded as the art of playing a game with nature as the opponent |
Statistical Decision Theory |
|
What was invented in 1940’s that had an impact on statistics |
Electronic computers |
|
[Under Inferential Statistics] What made the use of statistical techniques practical? |
Computers |
|
[Conclusion] One example why statistical theory and practice continues to be an important area of research |
Vast amount of polling which accompanies modern elections shows statistics become a central part of modern life |
|
When is the first mathematical analysis of game of chance? |
16th century |
|
C. De Mere initiated the study of Probability Theory by what? |
By posing a gambling problem |
|
This book represents the real beginning of probability theory as a mathematical subject |
How to Reason in Dice Game |
|
After the publication of the book of Huyghens in 1655, a decade of astonishing activity and progress followed on what years? |
1708-1718 |
|
During 1708-1718, the results of Fermat, Pascal, and Huyghens were developed into ___________ |
Coherent theory of probability |
|
Give three statistical topics discussed after a decade or progress in statistics |
1) conditional probability 2) combinatorics 3) expectations |
|
After the decade of astounding activity and progress, the period of ________ were taken by the following generations of mathematicians and given solution until today |
Consolidation |
|
[Under Inferential Statistics] What is the first significant development in late 19th and early 20th century? |
The study of methods in making inferences from data |