Growth Curve Modeling: Theory and Applications

INDEX

Aggregate output growth, 41–6

production function, 41

Cobb-Douglas, 42

Solow-Swan model, 43–6

balanced growth path, 44

fundamental differential equation, 43

golden rule, 45–6

steady state, 44

technical progress, 411

Agonist, 60

Allometric relationship, 240

Arithmetic progression, 1

common difference, 1

sum of the first n terms, 1–2

Arithmetic scale, 15–16

Autocorrelation, 90, 110–126

autoregressive error model, 125

Durbin-Watson statistic, 113–15

sampling distribution, 114

Durbin-Watson test, 113–15

first-order, 111, 114, 310

impact on OLS estimates, 112–13

Bernoulli differential equation, 77, 79

Binomial formula, 4

binomial coefficients, 4

general, 5

Central limit theorem, 299, 324, 326

Cobwebbing, 362–3, 397–8

Compound interest, 17–20

accumulated amount, 17–20

continuous compounding, 19

growth curve, 19–20, 109

Difference operator, 5

difference formulas, 6–7

difference interval, 5

nth difference, 8

polynomial, 8–9

Dimension analysis, 83–4

Double-logarithmic function, 17

Equilibrium, 362, 373–4, 376–82, 391–9

fixed point, 362, 394–7

attracting, 362, 391–400

repelling, 362, 391

neutral, 396

orbit, 395

oscillatory behavior, 396

period k, 397

qualitative analysis, 392

stable, 362, 391

steady-state solution, 394

time path, 395–6, 397

unstable, 362, 391

Experimental design, 270–271

factor, 270

factor effect, 270

fixed, 270

random, 270

level, 270

mixed effects, 271

nonlinear model, 271–6

repeated measurements, 271

interindividual variation, 271

intraindividual variation, ...