This work was inspired by a pair of lectures given by Dr. R. Livezey on statistical evaluation of forecasts and general circulation models. Discussions with Dr. F. Zwiers and comments from two anonymous reviewers were also very helpful.
Brockwell, P. J., and R. A. Davis, 1991: Time Series: Theory and Methods. Springer-Verlag, 577 pp.
Davis, R. E., 1976: Predictability of sea surface temperatures and sea level pressure anomalies over the North Pacific Ocean. J. Phys. Oceanogr.,6, 249–266.
Fraser, A. M., 1989: Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria. Physica D,34, 391–404.
Gershenfeld, N. A., and A. S. Weigend, 1993: The future of time series: Learning and understanding. Time Series Prediction: Forecasting the Future and Understanding the Past, A. S. Weigend and N. A. Gershenfeld, Eds., Addison-Wesley, 1–70.
Kaplan, D. T., 1993: A geometrical statistic for detecting deterministic dynamics (data sets A, B, C, D). Time Series Prediction: Forecasting the Future and Understanding the Past, A. S. Weigend and N. A. Gershenfeld, Eds., Addison-Wesley, 415–428.
Katz, R. W., 1982: Statistical evaluation of climate experiments with general circulation models: A parametric time series modeling approach. J. Atmos. Sci.,39, 1446–1455.
Theiler, J., P. S. Linsay, and D. M. Rubin, 1993: Detecting nonlinearity in data with long coherence times (data set E). Time Series Prediction: Forecasting the Future and Understanding the Past, A. S. Weigend and N. A. Gershenfeld, Eds., Addison-Wesley, 429–455.
Thiébaux, H. J., and F. W. Zwiers, 1984: The interpretation and estimation of effective sample size. J. Climate Appl. Meteor.,23, 800–811.
——, and M. A. Pedder, 1987: Spatial Objective Analysis: With Applications in Atmospheric Science. Academic Press, 299 pp.
Trenberth, K. E., 1984: Some effects of finite sample size and persistence on meteorological statistics. Part I: Autocorrelations. Mon. Wea. Rev.,112, 2359–2368.
Zwiers, F. W., 1990: The effect of serial correlation on statistical inferences made with resampling procedures. J. Climate,3, 1452–1461.