Lecture 7 Stated Preference Methods Cinzia Cirillo 1 Preference data • Revealed Preferences RP Respondents are questioned about what they actually do. RP data contain information about current market equilibrium. Historically economists rely on real market data because a classical concept affirms that only RP data have thus and such properties to estimate demand equations consistent with market behavior. • Stated preferences SP Respondents are faced to hypothetical choice situations. SP data provides insights into problems involving shifts in technological frontiers. There are many situations in which analysts and researchers have little alternative to take consumers at their world or do nothing. 2 Why SP data? • Organizations need to estimate demand for new products with new attributes or features. By definition, such applications have no RP data on which to rely, managers face the choice of guessing or relying on well-designed and executed SP research. • Explanatory variables have little variability in the marketplace. Even if products have been in the market for many years, it is not uncommon for there to be little or no variability in key explanatory variables. • Explanatory variables are highly collinear in the marketplace. Cost and Time correlation. Technology constraints. • New variables are introduced that now explain choices. As a product categories grow and mature, new product features are introduced and/or new designs supplant obsolete ones. 3 • Observational data cannot satisfy model assumptions and/or contain statistical “nasties” which lurk in real data. All models are only as good as their maintained assumptions. RP data may be of little value when used to estimate the parameters assumptions. • Observational data are time consuming and expensive to collect. Very often RP data are expensive to obtain and may take considerable time to collect. For example panel data involve observations of behavior at multiple points in time for the same or independent samples of individuals. • The product is not traded in the real market. Many goods are not traded in real economic markets; for example, environmental goods, public goods such as freeways or stadia. Yet society and its organizations often require that they be valued, their costs and benefits calculated. 4 RP data typically: • Depict the world as it is now (current market equilibrium). • Possess inherent relationship between attributes (technological constraints are fixed). • Have only existing alternatives as observables. • Embody market and personal constraints on the decision maker. • Have high reliability and face validity, • Yield one observation per respondent at each observation point. SP data typically: • Describe hypothetical or virtual decision contexts (flexibility). • Control relationship between attributes, which permits mapping of utility functions with technologies different from existing ones. • Can include existing and/or propose and/or generic (unbranded or unlabelled) choice alternatives. • Cannot easily (in some cases cannot at all) represent changes in market and personal constraints effectively. • Seem to be reliable when respondents understand, are committed and can respond to tasks. • Usually yield multiple observations per respondent at each observation point. 5 Preferences 1. 2. 3. 4. Discrete choice of one option from a set of competing ones. This response measures the most preferred option relative to the remaining, but provides no information about the relative preferences among the non-chosen. That is a true nominal scale. ‘Yes, I like this option’ ‘No, I don’t like this option’. This response clearly separates alternatives into liked and not liked options and provides preferences. Complete ranking of options from most to least preferred. This response orders all options on a preference continuum, but provides no information about degree of preference, no order. Rating options on a scale. Expresses degrees of preference for each option by rating them on a scale or responding via other psychometric methods such as magnitude estimation. If the consumers can supply valid and reliable estimates of their degree of preference this response contains information about equality, order and degrees of differences and magnitude. 6 Discrete choice of one option from a set of competing ones Auto > bus, train, ferry, carpool and bus = train = ferry = carpool Mode for journey to work Take bus Take train Take ferry Drive own auto Carpool Consumer chooses X 7 ‘Yes, I like this option’ ‘No, I don’t like this option’ • Auto > bus, train, ferry • Carpool > bus, train, ferry • Auto = carpool; bus = train = ferry Mode for journey to work Take bus Take train Take ferry Drive own auto Carpool Consumer will consider (y/n) No No No Yes Yes 8 Complete ranking of options from most to least preferred • • • • Auto > bus, train, ferry, carpool Carpool > bus, train, ferry Ferry > bus, train Train > bus Mode for journey to work Take bus Take train Take ferry Drive own auto Carpool Ranking by likelihood of use 5 4 3 1 2 9 Expressing degrees of preference by rating options on a scale Mode for journey to work Take bus Take train Take ferry Drive own auto Carpool • • • • Consumer likelihood to use (y/n) 4 4 6 10 7 Auto > bus, train, ferry, carpool Carpool > bus, train, ferry Ferry > bus, train Train = bus 10 Part II: Experimental Design 11 Definitions • An experiment involves the manipulation of a variable with one or more observations, taken in response to each manipulated value of the variable. • The manipulated variable is called “factor”, and the values manipulated are called “factor levels”. • Such variables are also referred to as independent or explanatory variables or “attributes”. • Factorial designs are designs in which each level of each attribute is combined with every level of all other attributes. • The complete enumeration is called a “complete factorial” or a “full factorial”. Complete factorial guarantees that all attribute effects of interest are truly independent. 12 Choice experiments consist of a sample of choice sets selected from the universal set of all possible choice sets that satisfy certain statistical properties. There are two general types of choice experiments: 1. labelled (alternative-specific) 2. unlabbeled (generic) There are two general ways to design choice experiments for both types: 1. Sequentially design alternatives and then design the choice sets into which there are placed; 2. Simultaneously design alternatives and assign them to choice sets. 13 Multiple choice experiments The objective of multiple choice experiments is to design alternatives and the choice sets in which they appear, such that the effect can be estimated with reasonable levels of statistical precision. Multiple choice experiments: 1. There are more than two alternatives (two brands and non-choice, eight brands, etc) and 2. Choice set sizes may vary (some sets with two brands, some with eight, etc. Design issues involve the following types of alternatives: (a) labelled vs. unlabelled; (b) generic vs. alternative-specific; (c) own vs cross-effects. 14 Designs for MNL models • Design an initial set of P total alternatives (profiles) to create choice sets containing one or more additional alternatives M. • Make M-1 copies of the initial set of P total profiles, and place the M sets of profiles in M separate urns. Randomly select one of the P profiles from each of the M urns without replacement to construct a choice set of exactly M alternatives, ensuring that none of the M profiles in the set are the same. Continue this process until all P profiles in each urn have assigned to P total choice sets of M alternatives. 15 • Improve the statistical efficiency of the first procedure by creating M different, statistically equivalent designs. In this case each urn contains a different design. When one randomly draws profiles from the M urns to make the P total choice sets, one does not have to eliminate duplicate profiles. • Further improve design efficiency by first constructing the P total profiles and then constructing the P total choice sets by a method known as shifting, in which modular arithmetic is issued to shift each combination of the initial attribute levels by adding a constant that depends on the number of levels. • Make P initial profiles and construct all possible pairs of each. There will be exactly P(P-1)/2 pairs. The total number of pairs will increase geometrically with P. 16 Designs for availability problems • Many problems involve sets of alternatives that vary in nature and composition. In transport, it is rare for commuters to have all transport modes available for their commuters. If IID is satisfied, label specific intercepts for J-1 alternatives can be estimated by designing this type of experiments. • Each of the J labels can be treated as a two level variable (present/absent). A nearly optimally efficient strategy is to design the choice sets using a 2J fractional factorial design. • If IID is violated a minimum strategy is to design the smallest orthogonal a 2J main effects plus its foldover (a mirror image of the original design; replace each 0 with 1 and each 1 with 0). 17 Set United Delta Northwest US Airways Southwest 1 P P P P P 2 P P A P A 3 P A P A A 4 P A A A P 5 A P P A P 6 A P A A A 7 A A P P A 8 A A A P P 18 • Each airlines appears equally often (count the number of A and P in each column). • The presence/absence of each airline in independent of the presence/absence of other airline. Airline A Airline B Present Absent Present 2 2 Absent 2 2 • If two events are probabilistically independent their joint probabilities should equal the product of their marginals (4x4)/8 = 2. The correlation of the cooccurrances is exactly zero. 19 • The marginal for each airline can be estimated independently of the marginals of every other airline. • The marginal of each airline is the best estimate of the alternative-specific intercept or constant in MNL model. • Alternative-specific intercepts can be estimated from several data aggregation levels, and each will yield the same coefficients up to a multiplication by a positive constant. • The more one aggregate data, the more one hides individual and choice set variation. • Thus it is particularly dangerous to aggregate data over subjects because consumers typically exhibits heterogeneous preferences. 20 Unlabelled, generic alternatives The choice outcomes are purely generic in the sense that the labels attached to each option convey no information beyond that provided by the attributes. Options are simply labelled “A” and “B”. Option A Option B Set Fare Service Time Fare Service Time 1 2 3 4 5 6 7 8 $1.20 $1.20 $1.20 $1.20 $2.20 $2.20 $2.20 $2.20 5 5 15 15 5 5 15 15 10 20 10 20 10 20 10 20 $ 2.00 $ 2.00 $ 3.00 $ 3.00 $ 3.00 $ 3.00 $ 2.00 $ 2.00 15 30 30 15 30 15 15 30 15 30 30 15 15 30 30 15 21 M = total generic choice outcomes A = total attributes L = levels for each attribute The collective design is an LMA factorial, from which one selects the smallest orthogonal main effects plan. For example, if there are four choice outcomes, and each is described by eight four level attributes, the collective factorial is 48x4, or 432. The smallest possible main effect plan is determined by the total degrees of freedom required to estimate all implied main effects. The total degrees of freedom are determined by assuming the separate degree of freedom in each main effect. Each main effect has exactly L - 1 degree of freedom (= 3 in the present example). 22 There are 32 main effects (4 x 8 attributes); hence there is a total of 32 x 3, or 96 degrees of freedom. The smallest orthogonal main effects plan requires 128 choice sets. Unbalanced designs are those for which • Attributes have unequal numbers of levels • The numbers of levels are not multiples of one another. Hensher and al. say: For example if three attributes have levels, respectively of 2, 3 and 4 the design properties will be unbalanced. If the tree-level attribute can be reduced to two or increased to four levels, design properties will be improved. 23 No of options No of attributes No of levels Full factorial Smallest design 2 2 2 2 4 4 4 4 8 8 8 8 16 16 4 4 8 16 4 4 8 16 4 4 8 16 4 8 2 4 2 4 2 4 2 4 2 4 2 4 2 4 28 48 216 432 216 416 232 464 232 432 264 4128 264 4128 16 sets 32 sets 32 sets 128 sets 32 sets 64 sets 64 sets 256 sets 64 sets 128 sets 128 sets 512 sets 128 sets 512 sets 24 Labelled alternatives The design principle for unlabelled alternatives also apply to designs for labelled alternatives. The key difference is that the label or name of the alternative itself conveys information to decision makers. This matters in choice decisions because: • Subjects may use labels to infer missing (omitted) information; • These inferences may be (and usually are) correlated with the random components. The omitted variable bias can be quite serious. For example, significant differences in price effects will occur to the extent that consumers associate good or bad omitted variables with brands. 25 Good inferences lead to apparently lower price sensitivity, whereas bad inferences lead to higher price sensitivity. Such apparent effects are driven by failure to include in the task all the relevant information on which consumers base their choices. Models estimated from such tasks will be of limited value for future forecasting if the covariance structure of the omitted variables changes. Such changes should be slower in established, mature product markets, but may be rapid in new and emerging markets. 26 Statistical properties of labelled choice experiments Two statistical properties are of interest in labelled and unlabelled choice experiments: • Identification, that refers to the type of utility and choice process specifications that can be estimated; • Precision, that refers to the statistical efficiency of the parameters estimated from the experiment. Specification is, in principle, under the researcher’s control. In practice, an experiment may be too large for practical application. The real issue is precision, that is a function of the number of non-zero attributes level differences (continuous attributes) or contrasts (qualitative attributes). 27 Difference design • Difference designs requires one to begin with an initial set of profiles. An additional M choice alternatives can be designed by using an orthogonal difference design. • Let all attributes be quantitative and let L = 4. Let the levels of each attribute in the difference design be -3 -1 +1 +3. • If the original price levels are $5, $7, $9, $11, • The price levels of the second alternative would be: • 5±1,3; 7±1,3; 9±1,3; 11±1,3; ($2, $4, $6, $8, $10, $12, $14) • The resulting design will be orthogonal in its attribute level differences, but will not be orthogonal in the absolute attribute levels. 28 A labeled experiment with constant third option • All attribute columns of all alternatives are treated as a collective factorial, and a constant, reference alternative is added to each choice set. Given M options, each described by A attributes with L level, the collective factorial is an LMA. One selects the smallest orthogonal design from this factorial that satisfies the desired identification properties. Each choice set is a row in this fractional factorial design matrix to which a constant is added. The constant can be a fixed attribute profile or an option such as “no choice”. The subtraction of a constant from each attribute column leaves design orthogonality unaffected. 29 Constant reference alternative is added to each choice set One selects the smallest orthogonal design from this factorial that satisfies the desired identification properties. Each choice set is a row in this fractional factorial design matrix to which a constant is added. This strategy has limitations: 1. A significant number of between-alternative attribute differences will be zero. 2. Some choice sets will contain dominant alternatives 3. Relatively large number of choice sets will be required. 30 Example of a labeled design and resulting attributes differences 26 factorial; six attributes each with 2 levels of variations two zero differences; correlation service frequency- travel time = 0.474 Commuter train set 1-way City bus Freq Time 1-way Freq Attribute differences Time 1-way Freq Time 1 $1.20 5 10 $2.00 15 15 -0.80 -10 -5 2 $1.20 5 20 $2.00 30 30 -0.80 -25 -10 3 $1.20 15 10 $3.00 30 30 -1.80 -15 -20 4 $1.20 15 20 $3.00 15 15 -1.80 0 +5 5 $2.20 5 10 $3.00 30 15 -0.80 -25 -5 6 $2.20 5 20 $3.00 15 30 -0.80 -10 +5 7 $2.20 15 10 $2.00 15 30 +0.20 0 -5 8 $2.20 15 20 $2.00 30 15 +0.20 -15 -10 31 A labeled experiment with constant third option Commuter train set 1-way City bus Freq Time 1-way Freq Option Time 1 $1.20 5 10 $2.00 15 15 2 $1.20 5 20 $2.00 30 30 3 $1.20 15 10 $3.00 30 30 4 $1.20 15 20 $3.00 15 15 5 $2.20 5 10 $3.00 30 15 6 $2.20 5 20 $3.00 15 30 7 $2.20 15 10 $2.00 15 30 8 $2.20 15 20 $2.00 30 15 Choose another mode of travel to work 32 Attributes level differences resulting from random design • Use separate designs to make profiles for train and bus, put the bus and the train profiles in two different urns and generate pairs by randomly selecting a profile from each urn without replacement. • In this case there are no zero differences and correlation between service frequency and travel time differences is 0.16. This randomly generated design is more efficient that an orthogonal design but this cannot be generilazed. 33 Attributes level differences resulting from random design 23 x 23 factorial; no zero differences; correlation service frequency- travel time = 0.16 Commuter train set 1-way City bus Freq Time 1-way Freq Attribute differences Time 1-way Freq Time 1 $1.20 5 10 $3.00 15 30 -1.80 -10 -20 2 $1.20 5 20 $2.00 15 30 -0.80 -10 -10 3 $1.20 15 10 $3.00 30 15 -1.80 -15 -5 4 $1.20 15 20 $2.00 30 15 -0.80 -15 +5 5 $2.20 5 10 $2.00 15 15 +0.20 -10 -5 6 $2.20 5 20 $3.00 15 15 -0.80 -10 +5 7 $2.20 15 10 $2.00 30 30 +0.20 -15 -20 8 $2.20 15 20 $3.00 30 30 -0.80 -15 -10 34 Availability designs for labelled alternatives Sometimes we need to generate designs with choice sets of variable size. This applies to the following situations: Out of stock. How do supply interruptions or difficulties affect choices? Closure or service interruptions. How to travelers change their behavior when a bridge or a road is closed? New product introductions. How do choices change in response to new entrants that may or may not be included? Retention/switching. How do choices change in response to systematic changes in availability? This is very well adapted to study dynamics in behavior. 35 In the case in which presence/absence of options varies but not attributes, designs can be created by treating alternatives as two level factors (present/absent) and selecting orthogonal fractions from the 2J factorial. Set 1 2 3 4 5 6 7 8 Option1 P P P P A A A A Option 2 A A P P A A P P Option 3 P A P A P A P A Option 4 A A P P P P A A Option 5 P A A P P A A P Option 6 A P P A P A A P 36 Alternatives vary in availability and attributes • Two design approaches are possible: 1. An orthogonal fraction of a 2J design is used to design presence/absence conditions and designed attributes profiles are randomly assigned without replacement to make choice in each condition. 2. A fraction of a 2J design is used to design presence/absence conditions, and a second orthogonal fraction of the collective factorial of the attributes of the alternative “present” is used to make the choice sets in each present/absent condition 37 Attribute availability nesting based on fractional design Set no. A B C Condition 1 (011): based on the smallest fraction of the 26 1 A 000 000 2 A 001 011 3 A 010 111 4 A 011 100 5 A 100 101 6 A 101 110 7 A 110 010 8 A 111 001 38 Set no. A B C Condition 2 (101): based on the smallest fraction of the 26 1 000 A 000 2 001 A 011 3 010 A 111 4 011 A 100 5 100 A 101 6 101 A 110 7 110 A 010 8 111 A 001 39 Set no. A B C Condition 3 (110): based on the smallest fraction of the 26 1 000 000 A 2 001 011 A 3 010 111 A 4 011 100 A 5 100 101 A 6 101 110 A 7 110 010 A 8 111 001 A 40 Overview • Will present a few examples of stated preference surveys – Maryland Vehicle Preference Survey – Capitol Beltway HOT Lane Study • Show survey progression from trial to first run for vehicle preference survey with focus on new Fuel Technology Experiment • Focus on Departure Time Experiment for HOT study 41 Maryland Vehicle Preference Survey Sources (abbreviated) Cirillo, C. and Maness, M. Estimating Demand for New Technology Vehicles. ETC 2011 Maness, M. and Cirillo, C. Measuring and Modeling Future Vehicle Preferences: A Preliminary Stated Preference Survey in Maryland. forthcoming 42 Objective • Objectives – Collect data on future household vehicle preferences in Maryland in relation to vehicle technology, fuel type, and public policy – Determine if respondent could make dynamic vehicle purchase decisions in a hypothetical short- to medium-term period – Determine if results from this hypothetical survey could be modeled using discrete choice methods 43 Survey Design • Respondent and Household Information • Current Vehicle Properties • Stated Preference Survey – One of the following: • Vehicle Technology Experiment • Fuel Type Experiment • Taxation Policy Experiment 44 Survey Methodology Time Frame Target Population Sampling Frame Sample Design Use of Interviewer Mode of Administration Computer Assistance Reporting Unit Time Dimension Frequency Levels of Observation Summer – Fall 2010 Suburban and Urban Maryland Households Households with internet access in 5 Maryland counties Multi-stage cluster design by county and zipcode Self-administered Self-administered via the computer and internet for remaining respondents Computer-assisted self interview (CASI) and web-based survey One person age 18 or older per household reports for the entire household Cross-sectional survey with hypothetical longitudinal stated preference experiments One two-month phase of collecting responses Household, vehicle, person 45 Experiment Directions • Make realistic decisions. Act as if you were actually buying a vehicle in a real life purchasing situation. • Take into account the situations presented during the scenarios. If you would not normally consider buying a vehicle, then do not. But if the situation presented would make you reconsider in real life, then take them into account. • Assume that you maintain your current living situation with moderate increases in income from year to year. • Each scenario is independent from one another. Do not take into account the decisions you made in former scenarios. For example, if you purchase a vehicle in 2011, then in the next scenario forget about the new vehicle and just assume you have your current real life vehicle. 46 Vehicle Technology Experiment 47 Results - Vehicle Technology Vehicle Price vs Adoption Rate 25% 40000 35000 20% 25000 15% 20000 10% 15000 10000 5% 5000 0% 0 2010 2011 New gasoline 2012 New Hybrid New Electric 2013 Gasoline Price 2014 Hybrid Price 2015 Electric Price 48 Vehicle Price Adoption Rate 30000 Results – Vehicle Technology ASC – New Gasoline Vehicle ASC – New Hybrid Vehicle ASC – New Electric Vehicle Purchase Price [$10,000] Fuel Economy Change [MPG] (current veh. MPG known) Fuel Economy Change [MPG] (current veh. MPG unknown) Recharging Range [100 miles] Current Vehicle Age – Purchased New [yrs] Current Vehicle Age – Purchased Used [yrs] Minivan Dummy interacted with Family Households SUV Dummy interacted with Family Households Non-Electric Vehicle Error Component (standard deviation) Non-Hybrid Vehicle Error Component (standard deviation) Vehicle Size (mean) Vehicle Size (standard deviation) Likelihood with Zero Coefficients Likelihood with Constants Only Final Value of Likelihood BEV HEV Gasoline Coefficient Current Included in Utility -1379.4 "Rho-Squared" -1088.1 Adjusted "Rho-Squared" -819.6 Number of Observations Value T-stat -1.320 -1.760 -3.450 -0.639 0.039 -0.002 0.909 -0.123 -0.059 1.410 1.900 2.400 2.150 -0.435 1.09 -3.28 -2.93 -5.70 -5.42 2.68 -0.21 4.37 -4.34 -2.02 2.75 4.77 6.00 6.71 -2.42 6.61 0.406 0.395 995 (83) 49 Results – Vehicle Technology • Gasoline and hybrid vehicles have a similar inherent preference • Families influenced by vehicle size • Fuel economy not significant for respondents who did not know their own vehicle’s fuel economy • Covariance between Vehicle Types – – – – current vehicle + new gasoline vehicle (largest cov.) new gasoline or current vehicle + new hybrid vehicle new gasoline or current vehicle + new electric vehicle new hybrid vehicle + new electric vehicle (smallest cov.) • About 65% of respondents preferred smaller vehicles 50 Fuel Type Experiment 51 Results – Fuel Type Fuel Price vs Adoption Rate 7 30% 5 Adoption Rate 20% 4 15% 3 10% 2 5% 1 0 0% 2010 New Gasoline 2011 New Alternative Fuel 2012 New Electric 2013 New Plug-In Hybrid Gasoline Price 2014 Alternative Fuel Price 2015 Electricity Price 52 Price per Gallon (or Equivalent) 6 25% Results – Fuel Type ASC – New Gasoline Vehicle ASC – New Alternative Fuel Vehicle ASC – New Diesel Vehicle ASC – New Battery Electric Vehicle ASC – New Plug-in Hybrid Electric Vehicle Fuel Price [$] Gasoline Price – PHEV [$] Electricity Price – BEV [$] Electricity Price – PHEV [$] Charge Time – BEV [hrs] Charge Time – PHEV [hrs] Average Fuel Economy [MPG, MPGe] Current Vehicle Age – Purchased New [yrs] Current Vehicle Age – Purchased Used [yrs] Current Vehicle Error Component (standard deviation) Electric Vehicle Error Component (standard deviation) Liquid Fuel Vehicle Error Component (standard deviation) Likelihood with Zero Coefficients Likelihood with Constants Only Final Value of Likelihood PHEV BEV Diesel AFV Gasoline Current Coefficient Included in Utility -901.3 "Rho-Squared" -667.7 Adjusted "Rho-Squared" -443.6 Number of Observations Value -8.810 -9.940 -10.300 -9.230 -10.100 -1.160 -0.358 -0.762 -0.569 -0.917 -0.164 0.039 -0.395 -0.377 2.290 2.300 3.460 T-stat -6.81 -7.66 -7.84 -4.07 -4.79 -7.79 -2.02 -3.02 -2.79 -3.68 -0.87 3.91 -4.21 -3.86 3.90 3.92 4.91 0.508 0.489 53 503 (42) Results – Fuel Type • Respondents less sensitive to electricity price – Maybe lack of familiarity, no rule of thumb? • Charging time has influence on attractiveness of BEVs but not PHEVs • Error components shows that groups of respondents may have similar propensity towards electric vehicles (BEV and PHEV) and between liquid fuel vehicles 54 Taxation Policy Experiment 55 Results – Taxation Policy VMT Tax vs Adoption Rate 35% 80 30% 70 Adoption Rate 50 20% 40 15% 30 10% VMT Tax ($/1000 miles) 60 25% 20 5% 10 0% 0 2010 Drive Current Vehicle Less 2011 New Gasoline 2012 New Hybrid New Electric 2013 Current Vehicle VMT 2014 Gasoline VMT 2015 Hybrid VMT Electric VMT 56 Results – Taxation Policy ASC – New Gasoline Vehicle ASC – New Hybrid Vehicle ASC – New Electric Vehicle Hybrid Vehicle Deduction [$] divided by HH Income [$1000] Electric Vehicle Deduction [$] divided by HH Income [$1000] VMT Tax interacted with Annual Mileage [$100] Toll Discount [%] (for HHs near toll facilities) Toll Discount [%] (for HHs not near toll facilities) Current Vehicle Age (new) interacted with Annual Mileage [years x 1000 miles] Current Vehicle Age (used) interacted with Annual Mileage [years x 1000 miles] New Vehicle Error Component (standard deviation) Current Vehicle Error Component (fixed to 0) BEV HEV Gasoline Current Coefficient Likelihood with Zero Coefficients Likelihood with Constants Only Final Value of Likelihood Included in Utility -565.6 "Rho-Squared" -456.7 Adjusted "Rho-Squared" -308.1 Number of Observations Value T-stat -7.170 -7.090 -7.590 0.093 0.245 -0.186 0.065 0.005 -0.049 -0.026 3.760 0.000 -6.03 -5.94 -6.17 2.71 2.02 -5.14 2.76 0.75 -5.24 -2.47 4.90 Fixed 0.455 0.436 408 (34) 57 Results – Taxation Policy • ASCs similar to Vehicle Technology Experiment • Toll discount only significant for residents near toll facilities • Higher VMT tax for gasoline vehicles dissuaded new gasoline vehicle purchases 58 Survey Redesign • Eliminate the taxation policy experiment – Incorporate VMT tax into fuel type experiment – Incorporate Rebates into vehicle technology experiment • Added open-ended questions for purchase reason of current vehicles – Able to elicit some opinions about vehicle preferences, attitudes, and concerns • All respondents participate in both choice experiments 59 Survey Redesign • Vehicle Technology Experiment – Incorporate MPGe into vehicle technology experiment • Respondents able to compare mpge and mpg in fuel technology experiment well – Added fees and rebates for different vehicle types – Added Plug-in Hybrid Vehicle (PHEV) alternative • Fuel Technology Experiment – Removed diesel vehicle option, added flex-fuel vehicle option – Added VMT tax depending on fuel type 60 New Vehicle Technology Experiment 61 New Fuel Type Experiment 62 New Fuel Type Experiment • Purpose – Collect data on future household vehicle preferences in Maryland in relation to fuel type – Determine if respondent could make dynamic vehicle purchase decisions in a hypothetical short- to medium-term period • Respondents given a stated preference survey over a hypothetical five year period with two scenarios per year 63 Prior Data Collection • Respondent Characteristics – Age, gender, employment, commute • Household Characteristics – Size, children, workers, location • Current Vehicle Characteristics – Make and model, fuel economy, purchase reason 64 Alternatives • • • • • • • Keep Current Vehicle Buy New Gasoline Vehicle Buy New Alternative Fuel Vehicle Buy New Flex-Fuel Vehicle Buy New Battery Electric Vehicle Buy New Plug-in Hybrid Vehicle Sell Current Vehicle 65 Attributes • • • • • Fuel Price – $ per gallon (equivalent) Miles Traveled Fee – $ per 1000 miles Average Fuel Economy – miles per gallon (equivalent) Fueling Station Availability – distance from home in miles Battery Charging Time – hours per charge 66 Attribute Levels • • • • • • 6134 design Fuel Price – 6 levels Miles Traveled Fee – 3 levels Average Fuel Economy – 3 levels Fueling Station Availability – 3 levels Battery Charging Time – 3 levels 67 Attribute Levels 2011 Fuel Cost 2.50 2.75 3.00 Gasoline Fuel 3.50 4.00 4.50 2.25 2.48 2.70 Alternative Fuel (E85) 3.15 3.60 4.05 3.70 4.40 4.90 Electricity 5.30 5.70 6.05 VMT MPG 20 25 30 16 21 26 60 80 100 Avail / Charge Fuel Cost 5 2.75 5 3.06 5 3.35 3.91 4.48 5.05 50 2.48 25 2.75 15 3.01 3.52 4.03 4.54 4 3.81 5 4.58 6 5.15 5.62 6.10 6.53 Attribute levels for first three years of the experiment 2012 VMT MPG 22 28 34 18 24 30 65 85 105 Avail / Charge Fuel Cost 5 3.03 5 3.41 5 3.73 4.37 5.02 5.66 50 2.72 25 3.07 15 3.36 3.93 4.52 5.10 4 3.93 5 4.76 6 5.40 5.96 6.53 7.06 2013 VMT 1.80 3.00 4.50 MPG 24 31 38 Avail / Charge 5 5 5 1.00 1.80 2.50 20 27 34 50 25 15 0.50 1.00 1.80 70 90 110 3 4 5 68 Experimental Design Design # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Price 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 VMT Fee 0 2 1 1 0 2 1 0 2 2 1 0 2 1 0 0 2 1 Attribute MPG 0 2 2 0 1 1 1 0 0 1 2 2 2 1 1 2 0 0 Availability 0 0 1 2 2 1 1 1 2 0 0 2 2 2 0 1 1 0 Charge Time 0 1 0 2 1 2 1 2 1 0 2 0 2 0 2 1 0 1 69 Preliminary Model (New Data) 70 Preliminary Results 71 Capitol Beltway HOT Lane Study Estimating Drivers’ Willingness to Pay for HOT Lanes on I-495 in Maryland 72 Overview • Purpose – Determine preferences for use of high-occupancy toll (HOT) lanes on I-495 in Maryland – Determine cost and time preferences as well as high-occupancy vehicle preference • Respondents given two experiments, both deal with lane choice and the second has a departure time component 73 Prior Data Collection • Recent Trip (via I-495) Information – Passengers, Route Choice, Trip Purpose – Preferred Departure Time, Arrival Time – Actual Travel Time – Trip Distance on Beltway (D) – Actual Departure Time (DT), Arrival Time – Shortest Travel Time on Beltway (TTmin) – Longest Travel Time on Beltway(TTmax) – Fuel Cost (FC) 74 Departure Time Experiment 75 Alternatives • • • • Normal Lanes HOT Lane without passenger (paid) HOT Lane with passenger (free) Use alternative route 76 Attributes • 5431 design • Some attribute levels change depending on time of trip • Departure Time • Travel Time – Minimum Travel Time – Travel Time Range • Fuel Cost • Toll Cost 77 ≥ Attribute Levels Variable Departure time Minimum Travel Time (minutes) Normal Lane HOT Lane HOV Lane (passengers 2) DT-40min DT-40min DT-40min DT-20min DT-20min DT-20min DT DT DT DT+20min DT+20min DT+20min DT+40min DT+40min DT+40min TTmin TTmin TTmin TTmin + 5 TTmin + 5 TTmin + 5 TTmin + 10 TTmin + 10 TTmin + 10 TTmin + 15 TTmin + 15 TTmin + 15 TTmin + 20 TTmin + 20 TTmin + 20 78 Attribute Levels Variable Travel Time Range (minutes) [during rush hour] Travel Time Range (minutes) [not rush hour] Normal Lane HOT Lane HOV Lane (passengers 2) 30 10 10 35 15 15 40 20 20 45 25 25 50 30 30 5 5 5 15 10 10 25 15 15 35 20 20 45 25 25 79 Attribute Levels Variable Toll Cost ($) [during rush hour] Toll Cost ($) [not rush hour] Normal Lane HOT Lane HOV Lane (passengers 2) 0 0.30 * D 0 0 0.35 * D 0 0 0.40 * D 0 0 0.45 * D 0 0 0.50 * D 0 0 0.10 * D 0 0 0.15 * D 0 0 0.20 * D 0 0 0.25 * D 0 0 0.30 * D 0 80 Attribute Levels Variable Fuel Cost [during rush hour] Fuel Cost [not rush hour] Normal Lane HOT Lane HOV Lane (passengers 2) FC * 110% FC FC FC * 120% FC * 110% FC * 110% FC * 130% FC * 120% FC * 120% FC * 110% FC FC FC * 115% FC * 115% FC * 115% FC * 120% FC * 120% FC * 120% 81 Experimental Design Scenario # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Depart Time 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 Min TT 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 TT Range 0 2 3 4 1 1 4 0 3 2 2 3 1 0 4 3 1 4 2 0 4 0 2 1 3 Fuel Cost 0 1 2 1 2 1 0 1 2 2 2 1 0 2 1 1 2 2 0 1 2 2 1 1 0 Toll Cost 0 4 1 2 3 1 3 2 4 0 2 0 4 3 1 3 2 0 1 4 4 1 3 0 2 82
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