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Time Series Modeling

CHAPTER 1 THE BASICS OF TIME SERIES ANALYSIS

WHAT IS A TIME SERIES?

OPENING A TIME SERIES DATA FILE

TREND, SEASONAL AND CYCLIC COMPONENTS

WHAT IS A TIME SERIES MODEL?

PURE VERSUS CAUSAL TIME SERIES MODELS

INTERVENTIONS

EXPONENTIAL SMOOTHING ARIMA

DATA REQUIREMENTS

CHAPTER 2 STARTING TIME SERIES ANALYSIS

DEFINING THE PERIODICITY OF A TIME SERIES

DATA REQUIREMENTS FOR TIME SERIES MODELS

HOW OFTEN SHOULD TIME SERIES DATA BE COLLECTED

DEFINING DATES AND DISPLAYING TIME SERIES DATA IN SPSS

DEALING WITH MISSING VALUES

THE SEQUENCE CHART

CHAPTER 3 SMOOTHING TIME SERIES DATA

PLOTTING THE ORIGINAL SERIES

MOVING AVERAGES

ROBUST SMOOTHING

COMPARING THE SMOOTHERS

CHAPTER 4 LOOKING FOR OUTLIERS

LOOKING AT THE SERIES

THE FERTILITY RATE SERIES

OBTAINING THE SMOOTHER AND DIFFERENCES

CHAPTER 5 AUTOMATIC FORECASTING WITH TIME SERIES MODELER

DEVELOPING A FORECASTING MODEL

FIT AND ERROR

EXPERT MODELER

DEFINING DATES

CREATING A MODEL : EXAMINING THE RESULTS

CHAPTER 6 MEASURING MODEL PERFORMANCE

MEASURES OF MODEL PERFORMANCE

ANALYZING THE MODEL ERROR ON A SEQUENCE CHART

FIT STATISTICS

AUTOCORRELATION

TESTING FOR NORMALITY OF RESIDUALS

SPLITTING THE SAMPLE INTO ESTIMATION AND FORECASTING SUB-SAMPLES

TRUE FORECASTING WITH THE MODEL

CHAPTER 7 FITTING A SIMPLE CURVE TO TIME SERIES DATA

ASSUMPTIONS OF REGRESSION ANALYSIS

SIMPLE TIME SERIES REGRESSION

OTHER CURVE ESTIMATION MODELS

COMPARING MODEL PERFORMANCE

ANALYZING MODEL ERRORS ON A SEQUENCE CHART

NORMALITY OF ERRORS

CHECKING FOR AUTOCORRELATION

FIT STATISTICS

CONCLUSIONS WHEN COMPARING MODEL PERFORMANCE

FORECASTING WITH THE GROWTH MODEL

VIEWING FORECASTS ON A SEQUENCE CHART

EVALUATION OF CURVE ESTIMATION

CHAPTER 8 TIME SERIES REGRESSION

TIME SERIES ANALYSIS WITH REGRESSION

EXPLORATORY ANALYSIS

MULTIPLE LINEAR REGRESSION TIME SERIES MODEL

TESTING THE MODEL

DIFFERENCING THE NUMBER OF VISITORS

REGRESSION MODEL WITH DIFFERENCED VISITORS

FORECASTING WITH REGRESSION

CHAPTER 9 EXPONENTIAL SMOOTHING MODELS

INTRODUCTION TO EXPONENTIAL SMOOTHING

TYPES OF EXPONENTIAL SMOOTHING

RECOMMENDED APPROACH TO MODELING

AN ANALYSIS WITH EXPERT MODELER

EXAMINING THE RESULTS

CREATING A CUSTOM MODEL

FORECASTING WITH EXPONENTIAL SMOOTHING

MODEL VALIDATION WITH FUTURE DATA

CHAPTER 10 ARIMA MODELS

WHAT IS ARIMA?

ARIMA MODELING

IDENTIFYING THE TYPE OF ARIMA MODEL

IDENTIFYING AN ARIMA MODEL IN PRACTICE

IDENTIFYING AN ARIMA MODEL FOR U.S. UNEMPLOYMENT RATE

ESTIMATING THE ARIMA MODEL

EXAMINING THE RESULTS

USING EXPERT MODELER TO FORECAST U.S. UNEMPLOYMENT RATE

SPECIFYING AN ARIMA MODEL IN SYNTAX

CHAPTER 11 APPLYING TIME SERIES MODELS

APPLYING A MODEL TO THE PARCEL SERIES

PREDICTIONS FOR THE PARCEL SERIES

FORECASTING U.S. UNEMPLOYMENT RATE

RE-ESTIMATING THE MODEL WITH 2004 DATA

CHAPTER 12 SEASONAL DECOMPOSITION

WHAT IS SEASONAL DECOMPOSITION?

WHICH METHOD OF SEASONAL DECOMPOSITION SHOULD YOU USE?

THE MAIN USES OF SEASONAL DECOMPOSITION

SEASONAL DECOMPOSITION (MULTIPLICATIVE)

BRIEF APPRAISAL OF SEASONAL DECOMPOSITION

CHAPTER 13 MODELING SEASONALITY

EXPLORING THE MILK PRODUCTION DATA

IDENTIFYING THE ARIMA MODEL

ESTIMATING THE ARIMA MODEL

RESULTS FOR ARIMA(1,1,1)(0,1,1) MODEL

BUILDING THE MODEL

EXAMINING THE RESULTS FROM EXPERT MODELER

FIT COMMAND WITH ARIMA MODELS

MODELING SEASONALITY WITH EXPONENTIAL SMOOTHING

CHAPTER 14 OUTLIERS DETECTION

OUTLIERS IN TIME SERIES

TYPES OF OUTLIERS

OUTLIERS IN THE U.S. UNEMPLOYMENT RATE SERIES

FITTING A MODEL WITHOUT OUTLIER DETECTION

FITTING A MODEL WITH OUTLIER DETECTION

A SERIES WITH MULTIPLE OUTLIERS

CHAPTER 15 INTERVENTION ANALYSIS

INTERVENTIONS IN TIME SERIES

MODELING THE EFFECT OF A U.K. SEAT BELT LAW

NAÏVE MODEL: CLASSICAL REGRESSION

USING EXPERT MODELER TO FIT AN INTERVENTION

FITTING THE INTERVENTION MANUALLY

CHAPTER 16 TRANSFER FUNCTIONS

WHAT IS A TRANSFER FUNCTION?

A BUSINESS EXAMPLE

DETERMINING THE DELAY TERM

PREDICTING SALES WITH LEAD WITH ARIMA

MODEL COMPARISONS

MAKING FORECASTS WITH TRANSFER FUNCTION MODELS

CHAPTER 17 AUTOMATIC FORECASTING IN A PRODUCTION SETTING

FORECASTING BROADBAND USAGE IN SEVERAL MARKETS

MODELS OUTPUT

APPLYING MODELS TO SEVERAL SERIES