Crossvalidation Variables
=========================

Variables for the :doc:`/api/spy4cast.spy4cast.Crossvalidation` methodology that can be accessed for plotting.


.. table::
    :class: variables-table

    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | VARIABLE                      | MEANING                                                                                                                             | DIMENSION LENGTH      |
    +===============================+=====================================================================================================================================+=======================+
    | .zhat_separated_modes         | Hindcast of field to predict using crosvalidation for each individual mode                                                          | nm x z_ns x nt        |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .zhat_accumulated_modes       | Hindcast of field to predict using crosvalidation for n modes (1, 1->2, ..., 1->nm)                                                 | nm x z_ns x nt        |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .scf                          | Squared covariance fraction of the mca for each mode                                                                                | nm x nt               |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .r_z_zhat_t_separated_modes   | Correlation between zhat and Z for each time (time series) for each individual mode                                                 | nm x nt               |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .r_z_zhat_t_accumulated_modes | Correlation between zhat and Z for each time (time series) for n modes (1, 1->2, ..., 1->nm)                                        | nm x nt               |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .p_z_zhat_t_separated_modes   | P values of rt for each individual mode                                                                                             | nm x nt               |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .p_z_zhat_t_accumulated_modes | P values of rt for n modes (1, 1->2, ..., 1->nm)                                                                                    | nm x nt               |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .r_z_zhat_s_separated_modes   | Correlation between time series (for each point) of zhat and z (map) for each individual mode                                       | nm x z_ns             |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .r_z_zhat_s_accumulated_modes | Correlation between time series (for each point) of zhat and z (map) for n modes (1, 1->2, ..., 1->nm)                              | nm x z_ns             |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .p_z_zhat_s_separated_modes   | P values of rr for each individual mode                                                                                             | nm x z_ns             |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .p_z_zhat_s_accumulated_modes | P values of rr for n modes (1, 1->2, ..., 1->nm)                                                                                    | nm x z_ns             |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .r_uv                         | Correlation score betweeen u and v for each mode                                                                                    | nm x nt               |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .r_uv_sig                     | Correlation score betweeen u and v for each mode where significative                                                                | nm x nt               |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .p_uv                         | P value of ruv                                                                                                                      | nm x nt               |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .psi_separated_modes          | Skill for each individual mode                                                                                                      | nm x y_ns x z_ns x nt |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .psi_accumulated_modes        | Skill for n modes (1, 1->2, ..., 1->nm)                                                                                             | nm x y_ns x z_ns x nt |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .suy                          | Correlation in space of the predictor with the singular vector. Dimension: y_space x time x nm                                      | y_ns x nt x nm        |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .suz                          | Correlation in space of the predictand with the singular vector. Dimension: z_space x time x nm                                     | z_ns x nt x nm        |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .suy_sig                      | Correlation in space of the predictor with the singular vector where pvalue is smaller than alpha. Dimension: y_space x time x nm   | y_ns x nt x nm        |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .suz_sig                      | Correlation in space of the predictand with the singular vector where pvalue is smaller than alpha. Dimension: z_space x time x nm  | z_ns x nt x nm        |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .us                           | Singular vectors of the predictor field. Dimension: nm x time x time                                                                | nm x nt x nt          |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .vs                           | Singular vectors of the predictand field. Dimension: nm x time x time                                                               | nm x nt x nt          |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+
    | .alpha                        | Correlation factor                                                                                                                  | 1                     |
    +-------------------------------+-------------------------------------------------------------------------------------------------------------------------------------+-----------------------+


.. table::
    :class: variables-table

    +---------------+------------------------------------------------------------+--------------------------------------------+
    | VARIABLE      | MEANING                                                    | TYPE                                       |
    +===============+============================================================+============================================+
    | .dsy          | Preprocessed dataset that was introduced as predictor.     | Preprocess                                 |
    +---------------+------------------------------------------------------------+--------------------------------------------+
    | .dsz          | Preprocessed dataset that was introduced as predictand.    | Preprocess                                 |
    +---------------+------------------------------------------------------------+--------------------------------------------+