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CT3

Raquel Stokes Inglés 50 fichas

CT3

Fichas del conjunto (50)

  1. 1Confidence Interval of Standard DeviationThis is for 95% confidence, adjust accordingly. Don't forget to get the square root since is SD not just the deviation.Confidence Interval of Standard Deviation
  2. 2Normal distribution with mean u and var 20. Find confidence interval.Normal distribution with mean u and var 20. Find confidence interval.
  3. 3Find the confidence interval when population variance is unknown.Find the confidence interval when population variance is unknown.
  4. 4Geometric Series formulasGeometric Series formulas
  5. 5Maximum likelihood FormulaUse F(x) to find the probabilities.
    The constant arises from the different possible arrangements of the obs.    Maximum likelihood Formula
  6. 6Binomial confidence interval formulawhere B(100,p) = N (np, np (1-p)
    ConInterval = P ( -Z1 < Z < Z2)    Binomial confidence interval formula
  7. 7Obtain the bias of u from a poisson distributionObtain the bias of u from a poisson distribution
  8. 8Obtain the MSE of u of a poisson distributionObtain the MSE of u of a poisson distribution
  9. 9Cramer-Rao Lower Bound FormulaCramer-Rao Lower Bound Formula
  10. 10Comment on the accuracy of a Poisson interval.Approximation is better in large parameter values.
    If an estimate for variance is used then is not accurate.
  11. 11Calculate the accurate Poisson confidence interval. (99%)You will need to do this calculation twice, and change the interval to lower such as 0.995.Calculate the accurate Poisson confidence interval. (99%)
  12. 12Calculate the minimum sample size.Calculate the minimum sample size.
  13. 13Comparison of two meansComparison of two means
  14. 14Comparison of RatiosComparison of Ratios
  15. 15Confidence interval for mean when given chi square.Confidence interval for mean when given chi square.
  16. 16Find the asymptotic standard error of the mean.Find the asymptotic standard error of the mean.
  17. 17Describe a type 1 and type 2 errors.1: Probability of rejecting Ho when it is in fact true.
    2: Probability of accepting Ho when it is in fact false
  18. 18Describe Neyman Pearson testLikelihood under Ho / likelihood under H1 < critical value
  19. 19We have carried out a 5% one tailed statistical test. We have found Z > 1.768 = 1 - 0.96147 = 0.03853. What would be your analysis.Since found probability is less than 5% we have sufficient evidence to reject Ho.
  20. 20We have carried out a chi square test and found our result to be 7.91. At two tailed 95% confidence level, what is your analysis? (n=5)7.91 lies between the lower and upper points of the chi square table, (at 2.5% and 97.5% confidence). Thus we have insufficient evident to reject Ho at the 5% level.
  21. 21When would you need to apply continuity correction?When working with binomial and poisson trials, +- 0.5 to X. You adjusted it to be closer to the mean.
  22. 22Poisson testing the value of the mean.Poisson testing the value of the mean.
  23. 23Binomial testing the value of the mean.Binomial testing the value of the mean.
  24. 24We have carried out a poisson trial with 1% level of confidence and found the result to be -2.519.At 1% confidence level the lowest point is -2.3263. -2.519 is lower hence we have sufficient evidence to reject Ho.
  25. 25We have carried a one tailed test to find the difference between two means, we have found the statistic to be 1.15. What are your findings? (95% n1=10 and n2 = 10)From the t tables we know that at P=18 and 5% confidence the value is 1.734. 1.15 is less than this thus we do not have sufficient evidence to reject Ho.
  26. 26Two samples in binomial distributionTwo samples in binomial distribution
  27. 27We carried a two tailed test of 95% and found P to be 2.36 (binomial population). What analysis can we take from this testThe critical region of a two tailed at 95% confidence interval of Z is 1.96 (0.975 and 0.025). 2.36 is greater than 1.96 thus we can conclude we have enough evidence to reject Ho.
  28. 28Poisson two populationsPoisson two populations
  29. 29Paired DataPaired Data
  30. 30Chi Square Test. (one tailed)Chi Square Test. (one tailed)
  31. 31Contingency Tables. Degree of freedom?Row Total x Column Total / Total Table
    degrees of freedom = (R-1)x(C-1)
  32. 32Sample Correlation CoefficientSample Correlation Coefficient
  33. 33Explain the meaning of -1 < r < 1r = 1, perfect linear relationship
    r {0,1} = Not direct relationship but same direction
    r = 0 no linear relationship
    r{-1,0} = Opposite directions no direct relationship
    R = -1 different directions but perfect linear relationship
  34. 34fishers transformation of r, often described with Z or Wfishers transformation of r, often described with Z or W
  35. 35Mean and SD of W (fishers transformation)Mean and SD of W (fishers transformation)
  36. 36Linear Regression ModelLinear Regression Model
  37. 37Anova TableAnova Table
  38. 38Describe the difference skewness levelsDescribe the difference skewness levels
  39. 39Calculations with SkewnessCalculations with Skewness
  40. 40Permutation with repetitions and order does matterPermutation with repetitions and order does matter
  41. 41Permutation with NO repetitions and order does matterPermutation with NO repetitions and order does matter
  42. 42Permutation with NO repetitions and order does NOT matterPermutation with NO repetitions and order does NOT matter
  43. 43Permutation with repetitions and order does NOT matterPermutation with repetitions and order does NOT matter
  44. 44Probability of A and B. Probability of A or B.Probability of A and B. Probability of A or B.
  45. 45Probability of B given AProbability of B given A
  46. 46Probability of A given BProbability of A given B
  47. 47Calculation of varianceCalculation of variance
  48. 48Calculation of covarianceCalculation of covariance
  49. 49Calculation of correlationCalculation of correlation
  50. 50Quadratic EquationQuadratic Equation

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Fichas sobre CT3, creado por Raquel Stokes el 21/07/2018.
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Raquel Stokes
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