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SAS/ETS 9.22 User's Guide 80

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TOTAL indicates that the data values represent period totals for the time interval corre- sponding to the observation.. AVERAGE indicates that the data values represent period averages.. DERIVATIVE requests that the output series be the derivatives of the cubic spline curve fit to the input data by the SPLINE method.. If only one value is specified in the OBSERVED= option,...

SAS/ETS 9.22 User's Guide 81

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For weighted moving time window operators, the weights for the unavailable or unused observations are ignored and the remaining weights renormalized to sum to 1.. Some operators compute cumulative statistics for a set of current and previous values of the series.. By default, the cumulative statistics operators compute the statistics from all previous values of the series, so that y...

SAS/ETS 9.22 User's Guide 82

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802 F Chapter 14: The EXPAND Procedure. OBSERVED, a character variable containing the first letter of the OBSERVED= option name for the input series. the ID variable that contains the lower breakpoint (or “knot”) of the spline segment to which the coefficients apply. The ID variable has the same name as the variable used in the ID statement. If an...

SAS/ETS 9.22 User's Guide 83

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proc print data=samples;. Output 14.3.1 Measured Defect Rates. The following statements interpolate the monthly estimates.. proc expand data=samples out=monthly to=month. The following PROC PRINT step prints the results, as shown in Output 14.3.2.. Output 14.3.2 Monthly Average Estimates. The plots produced by PROC EXPAND are shown in Output 14.3.3.. Output 14.3.3 Interpolated Defects Rate Curve. Output 14.3.3 continued. Example 14.4:...

SAS/ETS 9.22 User's Guide 84

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822 F Chapter 15: The FORECAST Procedure. The three observations for each forecast period have different values of the variable _TYPE_. For the _TYPE_=FORECAST observation, the value of the variable SALES is the forecast value for the period indicated by the DATE value. For the _TYPE_=L95 observation, the value of the variable SALES is the lower limit of the 95%...

SAS/ETS 9.22 User's Guide 85

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The following statements are used with PROC FORECAST:. PROC FORECAST options . specify model and data set options PROC FORECAST. specify the variables to forecast VAR Input Data Set Options. specify the input SAS data set PROC FORECAST DATA=. specify frequency of the input time series PROC FORECAST INTERVAL=. specify increment between observations PROC FORECAST INTPER=. specify seasonality PROC FORECAST...

SAS/ETS 9.22 User's Guide 86

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The EXPO method fits a trend model such that the most recent data are weighted more heavily than data in the early part of the series. The weight of an observation is a geometric (exponential) function of the number of periods that the observation extends into the past relative to the current period. where is the observation number of the...

SAS/ETS 9.22 User's Guide 87

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852 F Chapter 15: The FORECAST Procedure. OUTEST= Data Set. The FORECAST procedure writes the parameter estimates and goodness-of-fit statistics to an output data set when the OUTEST= option is specified. The OUTEST= data set contains the following variables:. the first ID variable, which contains the value of the ID variable for the last observation in the input data set...

SAS/ETS 9.22 User's Guide 88

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862 F Chapter 15: The FORECAST Procedure. Output 15.2.2 Nondurable Goods Sales. The following statements produce the forecast:. The following statements print the OUTEST= data set.. title2 'OUTEST= Data Set: STEPAR Method';. The PROC PRINT listing of the OUTEST= data set is shown in Output 15.2.3.. Output 15.2.3 The OUTEST= Data Set Produced by PROC FORECAST. Forecasting Sales of Durable...

SAS/ETS 9.22 User's Guide 89

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872 F Chapter 16: The LOAN Procedure. The LOAN procedure analyzes and compares fixed rate, adjustable rate, buydown, and balloon payment loans. The LOAN procedure computes the loan parameters and outputs the loan summary information for each loan.. PROC LOAN selects the best alternative in terms of the specified economic criterion for each loan comparison period.. The LOAN procedure allows...

SAS/ETS 9.22 User's Guide 90

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882 F Chapter 16: The LOAN Procedure. The loan comparison report through December 2003 picks the adjustable rate loan as the best alternative, whereas the report through December 2008 shows the fixed rate loan as the better alternative. This implies that if you intend to keep the loan for 10 years or longer, the best alternative is the fixed rate...

SAS/ETS 9.22 User's Guide 91

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892 F Chapter 16: The LOAN Procedure. The buydown rate loans are similar to ARM loans, but the interest rate adjustments are predetermined at the initialization of the loan, usually by paying interest points at the time of loan initialization.. specifies pairs of periods and the predetermined nominal interest rates that will be charged on the loan starting at the...

SAS/ETS 9.22 User's Guide 92

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902 F Chapter 16: The LOAN Procedure. You use the following statements to find the breakeven point in the life of the loan for your preference between the loans:. fixed rate=8.25 label='8.25. fixed rate=8 points=1000 label='8. 1 discount point';. Output 16.1.1 shows the loan comparison reports as of January 1996 (48th period), July 1996 (54th period), and January 1997 (60th...

SAS/ETS 9.22 User's Guide 93

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The MDC Procedure. Overview: MDC Procedure. Getting Started: MDC Procedure. Conditional Logit: Estimation and Prediction. Nested Logit Modeling. Multivariate Normal Utility Function. Syntax: MDC Procedure. Details: MDC Procedure. Multinomial Logit and Conditional Logit. Mixed Logit Model. Nested Logit. Decision Tree and Nested Logit. 914 F Chapter 17: The MDC Procedure. Examples: MDC Procedure. Example 17.1: Binary Data Modeling. Example 17.2:...

SAS/ETS 9.22 User's Guide 94

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922 F Chapter 17: The MDC Procedure. Figure 17.9 Two-Level Nested Logit Estimates. The MDC Procedure Nested Logit Estimates. Parameter Estimates. The nested logit model is estimated with the restriction INC_L2G1C1 = INC_L2G1C2 by specifying the SAMESCALE option, as in the following statements:. covest=hess;. The estimation result is displayed in Figure 17.10.. Figure 17.10 Nested Logit Estimates with One Dissimilarity...

SAS/ETS 9.22 User's Guide 95

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Data Set Options. Specifies the input data set MDC DATA=. Specifies the output data set for CLASS STATE- MENT. Includes covariances in the OUTEST= data set MDC COVOUT Writes linear predictors and predicted probabilities. Specifies the ID variable ID. Displays correlation matrix of the estimates MODEL CORRB Displays covariance matrix of the estimates MODEL COVB Displays detailed information about optimization....

SAS/ETS 9.22 User's Guide 96

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942 F Chapter 17: The MDC Procedure. NEST Statement. The NEST statement is used when one choice variable contains all possible alternatives and the TYPE=NLOGIT option is specified. The decision tree is constructed based on the NEST statement.. When the choice set is specified using multiple CHOICE= variables in the MODEL statement, the NEST statement is ignored.. Consider the following...

SAS/ETS 9.22 User's Guide 97

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952 F Chapter 17: The MDC Procedure. The IIA property of the conditional logit model follows from the assumption that the random components of utility are identically and independently distributed. The heteroscedastic extreme-value (HEV) model (Bhat 1995) allows the random components of the utility function to be nonidentical. The HEV model allows the variances of the random components of utility...

SAS/ETS 9.22 User's Guide 98

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962 F Chapter 17: The MDC Procedure. where ln.L/ is the log-likelihood value for the model, k is the number of parameters estimated, and n is the number of observations (that is, the number of respondents).. is an r-by-1 vector-valued function of the parameters given by the r expressions specified in the TEST statement.. Let V O be the estimate...

SAS/ETS 9.22 User's Guide 99

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972 F Chapter 17: The MDC Procedure. First, the multinomial probit model is estimated (see the following statements). (See Output 17.3.1.). Output 17.3.1 Trinomial Probit Model Estimation. The MDC Procedure Multinomial Probit Estimates. x lt;.0001. STD lt;.0001. RHO lt;.0001. Figure 17.29 shows a two-level decision tree.. Figure 17.29 Nested Tree Structure. 974 F Chapter 17: The MDC Procedure. The following...